Find the volume of rectangular solids, prisms, and pyramids

How Many Cubic Inches Are in 1 Cubic Foot?

1 pts

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A cubic foot is a cube with each side measuring 1 foot. Since 1 foot = 12 inches, each side also measures 12 inches. How many cubic inches are contained in 1 cubic foot?

144 in³

1,200 in³

1,728 in³

1,440 in³

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How Many Cubic Centimeters Are in 1 Cubic Meter?

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A cubic meter is a cube with each side measuring 1 meter. Since 1 meter = 100 centimeters, each side also measures 100 centimeters. How many cubic centimeters are contained in 1 cubic meter?

10,000 cm³

100,000 cm³

1,000,000 cm³

10,000,000 cm³

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Volume of an Oil Storage Tank (Rectangular Solid)

2 pts

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An oil storage tank is in the form of a rectangular solid with dimensions 17 feet by 10 feet by 8 feet. Find its volume.

1,200 ft³

1,280 ft³

1,360 ft³

1,440 ft³

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Volume of a Rectangular Solid (8 m × 12 m × 20 m)

2 pts

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Find the volume of a rectangular solid with dimensions 8 meters by 12 meters by 20 meters.

1,680 m³

1,820 m³

1,920 m³

2,040 m³

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Volume of a Triangular Prism

2 pts

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Find the volume of the triangular prism shown below.

Note: The 10 cm label is the hypotenuse — it is not needed to find the volume.

900 cm³

1,050 cm³

1,200 cm³

1,350 cm³

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Volume of a Triangular Prism (5 in × 10 in × 12 in)

2 pts

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Find the volume of the prism shown below.

250 in³

275 in³

300 in³

325 in³

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Volume of a Square Pyramid

2 pts

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Find the volume of the pyramid shown below.

84 m³

96 m³

108 m³

324 m³

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Volume of a Rectangular Pyramid

2 pts

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Find the volume of the pyramid shown below.

960 cm³

1,120 cm³

1,280 cm³

3,840 cm³

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Complete the Three Volume Formulas

2 pts

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Drag the correct expression into each placeholder to complete the three volume formulas.

Rectangular Solid: \(V = \) (1) (length × width × height)

Prism: \(V = \) (2) (area of base × height)

Pyramid: \(V = \dfrac{1}{3}\) × (3) (one-third of the product of base area and height)

Please drag and drop the selected option in the right place or type it instead

lwh

Bh

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Volume of a Cube

1 pts

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A cube is a special rectangular solid where all three dimensions are equal. Its volume formula is:

\[V = s^3\]

Find the volume of a cube whose sides each measure 4 centimeters.

12 cm³

48 cm³

64 cm³

96 cm³

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What Does the Variable B Represent?

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The volume formulas for prisms and pyramids both contain the variable \(B\):

\[V = Bh \quad \text{(prism)} \qquad V = \frac{1}{3}Bh \quad \text{(pyramid)}\]

What does \(B\) represent in these formulas?

The length of the base edge

The area of the base of the figure

The perimeter of the base

The height of the figure

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Caution – What Is the Height of a Geometric Solid?

1 pts

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According to the caution stated in this section, the height of a geometric solid must be measured in a specific way. Which of the following correctly describes the height?

The height is the slant distance along the side of the solid.

The height is the longest edge of the solid.

The height is always measured along a line perpendicular to the base.

The height is the diagonal of the base.

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True Statements About Volume

2 pts

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Select all statements that are true about the volume of three-dimensional figures.

Volume is measured in cubic units such as ft³, yd³, or cm³.

The volume of a figure is the number of cubic units that fit within its boundaries.

Volume is the same as the area of the base of a solid.

The formula V = Bh applies to prisms, where B is the area of the base.

A pyramid with the same base and height as a prism has the same volume.

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Volume of a Fish Tank (Aquarium)

2 pts

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An aquarium is in the shape of a rectangular solid with a length of 30 inches, a width of 12 inches, and a height of 18 inches. What is the volume of the aquarium?

5,400 in³

6,480 in³

7,200 in³

8,100 in³

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Volume of a Rectangular Solid with a Square Base

2 pts

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A storage box has a square base with sides of 9 inches and a height of 15 inches. Find its volume.

1,080 in³

1,215 in³

1,350 in³

1,458 in³

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Find the Base Area of a Pyramid Given Its Volume

2 pts

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The volume of a pyramid is 200 yd³ and its height is 6 yards. What is the area of its base?

75 yd²

90 yd²

100 yd²

120 yd²

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Sort the Steps to Find the Volume of a Triangular Prism

2 pts

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Please drag and drop the options to sort them

Drag the steps for finding the volume of a triangular prism into the correct order.

Multiply B by the height (length) of the prism: V = Bh.

Identify the dimensions of the triangular base.

State the volume with correct cubic units.

Calculate B, the area of the triangular base: B = ½bh.

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Pyramid vs. Prism – Volume Relationship

2 pts

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A triangular prism and a triangular pyramid both have the same triangular base (area = 30 cm²) and the same height (10 cm).

What is the volume of the pyramid?

300 cm³

150 cm³

100 cm³

90 cm³

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Classify Each Shape by Its Volume Formula

2 pts

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Shapes

×Rectangular solid

×Triangular prism

×Square pyramid

×Cube

×Hexagonal prism

×Rectangular pyramid

V = lwh or V = s³

V = Bh (prism)

V = ⅓Bh (pyramid)

Drag each three-dimensional shape into the correct formula category.

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Volume of Concrete for a Rectangular Foundation

2 pts

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A concrete wall is to be poured in the shape of a rectangular solid. The wall will be 40 feet long, 8 feet tall, and 0.5 feet thick. How many cubic feet of concrete are needed?

120 ft³

140 ft³

160 ft³

180 ft³

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How Many Cubic Inches Are in 1 Cubic Foot?

Correct Answer

Explanation

How Many Cubic Centimeters Are in 1 Cubic Meter?

Correct Answer

Explanation

Volume of an Oil Storage Tank (Rectangular Solid)

Correct Answer

Explanation

Volume of a Rectangular Solid (8 m × 12 m × 20 m)

Correct Answer

Explanation

Volume of a Triangular Prism

Correct Answer

Explanation

Volume of a Triangular Prism (5 in × 10 in × 12 in)

Correct Answer

Explanation

Volume of a Square Pyramid

Correct Answer

Explanation

Volume of a Rectangular Pyramid

Correct Answer

Explanation

Complete the Three Volume Formulas

Correct Answer

Explanation

Volume of a Cube

Correct Answer

Explanation

What Does the Variable B Represent?

Correct Answer

Explanation

Caution – What Is the Height of a Geometric Solid?

Correct Answer

Explanation

True Statements About Volume

Correct Answer

Explanation

Volume of a Fish Tank (Aquarium)

Correct Answer

Explanation

Volume of a Rectangular Solid with a Square Base

Correct Answer

Explanation

Find the Base Area of a Pyramid Given Its Volume

Correct Answer

Explanation

Sort the Steps to Find the Volume of a Triangular Prism

Correct Answer

Explanation

Pyramid vs. Prism – Volume Relationship

Correct Answer

Explanation

Classify Each Shape by Its Volume Formula

Correct Answer

Explanation

Volume of Concrete for a Rectangular Foundation

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Explanation

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