True or False: Volume is the amount of space that an object takes up.
True.
What is the area of this rectangle?
3 x 5 = 15 cm2
What is the formula for finding the volume of a rectangular prism?
Volume = length x width x height
or
Volume = Area of base x height
A box has a volume of 72 cubic inches.
The base is 8 inches long and 3 inches wide.
What is the height?
72÷(8×3)=3 → 3 inches
Why would filling a box with marbles and filling the same box with cubes be different amounts?
Sample answer:
They are different sizes and shapes. Marbles don't fit together as nicely as cubes.
Volume is measured in
A. Lines
B. Squared units
C. Cubic units
C
Area = length x width
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?
8x2x4 = 64 cubic inches
A rectangular prism has a volume of 120 cubic centimeters.
The height is 5 cm and the width is 4 cm.
What is the missing length?
120÷(20)=6 → 6 cm
A rectangular prism is made of 2 layers of cubes.
Each layer has 6 cubes (3 cubes long × 2 cubes wide).
What is the total volume?
3×2×2=12 cubic units
The formula for volume of a rectangular prism is:
volume = length x width x height
What is the area of this rectangle?
5 x 8 = 40 cm2
What is the volume of this figure?
6 x 3 x 4 = 72 cm3
A swimming pool has a volume of 2,400 cubic feet.
The pool is 40 ft long and 10 ft wide.
How deep is the pool?
2,400÷(400)=6 → 6 ft deep
A prism model shows 4 cubes long, 3 cubes wide, and 2 cubes tall.
Each cube represents 1 cubic inch.
What is the total volume of the model?
4×3×2=24 cubic inches
Centimeters x centimeters x centimeters = ?
cubic centimeters, or centimeters cubed, or cm3
Which ONE of the following demonstrates area?
- a kleenex box
- the top of a desk
- a line
The top of a desk
A box is 9 inches by 11 inches by 8 inches. What is the volume of the box?
792 cubic inches
A storage container has a volume of 1,260 cubic inches.
The length is 15 inches and the height is 7 inches.
Find the width.
1,260÷(15×7)=12 → 12 inches
What is the volume of this prism?
4 x 6 x 3 = 72 units3
True or False: Another formula for volume is Area of the base x height.
True
What is the area of this rectangle?
5 x 3 = 15 cm2
What is the volume of the prism with these dimensions: 14 in long, 9 in wide, and 4 in tall.
14 x 9 x 4 = 504 cubic inches
An aquarium holds 3,600 cubic centimeters of water.
The width is 6 cm, and the length is 15 cm.
What is the height of the aquarium?
3,600÷(6×15)=40 → 40 cm
A fish tank model shows 8 cubes long, 5 cubes wide, and 3 cubes tall.
Each cube is 1 cubic inch.
What is the total volume of the fish tank?
8×5×3=120 cubic inches