What is the formula to find the volume of a rectangular prism?
The formula is volume = length x width x height
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.
A family is packing for a move and has three boxes. The dimensions of the boxes are as follows:
Question: What is the total volume of all three boxes?
Total Volume: 55 cubic feet
A toy box has the following dimensions:
Question: What is the volume of the toy box in cubic inches?
4,500 cubic inches
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.
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.
A rectangular aquarium has the following dimensions:
Question: What is the volume of the aquarium in cubic inches?
V=40×20×18= 14,400 cubic inches
A storage shed has the following dimensions:
Question: What is the volume of the storage shed in cubic feet?
576 cubic feet
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.
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.
A contractor needs to pour a concrete slab for a patio. The dimensions of the slab are:
Question: How much concrete is needed in cubic feet?
V=10×8×0.5= 40 cubic feet
A rectangular aquarium has the following dimensions:
Question: What is the volume of the aquarium in cubic inches?
15,552 cubic inches
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.
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.
A shipping container has the following dimensions:
Question: What is the volume of the shipping container in cubic feet?
V=20×8×8.5= 1,360 cubic feet
A rectangular planter has the following dimensions:
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
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.
Describe a situation where you might need to calculate the volume of a rectangular prism.
Answer varies.
You are setting up a new rectangular fish tank for your pet fish. The fish tank has the following dimensions:
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?
A multi-level bookshelf has two levels. Each level has the following dimensions:
Question: What is the total volume of the bookshelf in cubic feet?
50 cubic feet