Volume of Rectangular Prisms

100

What is the formula to find the volume of a rectangular prism?

The formula is volume = length x width x height

100

What does each letter in the formula V=l×w×hV=l×w×h represent?

l is length, w is width, and h is height.

100

A family is packing for a move and has three boxes. The dimensions of the boxes are as follows:

Box 1: Length = 2 ft, Width = 3 ft, Height = 4 ft
Box 2: Length = 5 ft, Width = 2 ft, Height = 3 ft
Box 3: Length = 1 ft, Width = 1 ft, Height = 1 ft

Question: What is the total volume of all three boxes?

Volume of Box 1: 24 cubic feet
Volume of Box 2: 30 cubic feet
Volume of Box 3: 1 cubic foot

Total Volume: 55 cubic feet

100

A toy box has the following dimensions:

Length = 30 inches
Width = 15 inches
Height = 10 inches

Question: What is the volume of the toy box in cubic inches?

4,500 cubic inches

200

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 5 cm, what is its volume?

The volume is 60 cm³

4×3×5=60 cubic centimeters.

200

A rectangular prism has dimensions of length 7 cm, width 2 cm, and height 3 cm. What is its volume?

The volume is 42 cm³

7×2×3=42 cubic centimeters.

200

A rectangular aquarium has the following dimensions:

Length = 40 inches
Width = 20 inches
Height = 18 inches

Question: What is the volume of the aquarium in cubic inches?

V=40×20×18= 14,400 cubic inches

200

A storage shed has the following dimensions:

Length = 12 feet
Width = 8 feet
Height = 6 feet

Question: What is the volume of the storage shed in cubic feet?

576 cubic feet

300

A box has a volume of 120 cubic meters. If its height is 4 meters and its width is 5 meters, what is its length?

The length is 6 meters.

120/4×5=6.

300

If a rectangular prism has a volume of 144 cubic inches, height of 6 inches, and width of 4 inches, what is its length?

The length is 6 inches.

144/6×4=6.

300

A contractor needs to pour a concrete slab for a patio. The dimensions of the slab are:

Length = 10 ft
Width = 8 ft
Height = 0.5 ft

Question: How much concrete is needed in cubic feet?

V=10×8×0.5= 40 cubic feet

300

A rectangular aquarium has the following dimensions:

Length = 36 inches
Width = 18 inches
Height = 24 inches

Question: What is the volume of the aquarium in cubic inches?

15,552 cubic inches

400

If the volume of a rectangular prism is 64 cubic inches and the width is 4 inches, what is the height if the length is 4 inches?

The height is 4 inches.

64/4×4=4 inches.

400

A rectangular prism has a volume of 250 cubic feet, length of 10 feet, and width of 5 feet. What is its height?

The height is 5 feet.

250/10×5=5.

400

A shipping container has the following dimensions:

Length = 20 ft
Width = 8 ft
Height = 8.5 ft

Question: What is the volume of the shipping container in cubic feet?

V=20×8×8.5= 1,360 cubic feet

400

A rectangular planter has the following dimensions:

Length = 4 feet
Width = 3 feet
Height = 2.5 feet

If the planter is to be filled with soil to a height of 2 feet, what is the volume of soil needed in cubic feet?

24 cubic feet

500

Explain why knowing the volume of a rectangular prism is useful in real life.

Knowing the volume helps in determining how much space is available inside a container, which is important for storage, shipping, and packing items efficiently.

500

Describe a situation where you might need to calculate the volume of a rectangular prism.

Answer varies.

500

You are setting up a new rectangular fish tank for your pet fish. The fish tank has the following dimensions:

Length = 30 inches
Width = 12 inches
Height = 18 inches

You want to fill the tank with water to a depth of 15 inches.

Question: What is the volume of water required to fill the fish tank to the desired depth?

Volume = 30×12=360
Volume = 360×15= 5,400 cubic inches

500

A multi-level bookshelf has two levels. Each level has the following dimensions:

Length = 5 feet
Width = 2 feet
Height = 3 feet (for the bottom level)
Height = 2 feet (for the top level)

Question: What is the total volume of the bookshelf in cubic feet?

50 cubic feet