5.MD.5: Volume Formulas

I can relate volume to the operations of multiplication and addition and solve real world problems involving volume.

Problem 1

A box is 4 units long, 3 units wide, and 2 units high. Use the formula V = l ร— w ร— h to find the volume. ๐Ÿ’ก Hint: V = 4 ร— 3 ร— 2 = 24 cubic units.
Answer:

Problem 2

What is the volume formula for a rectangular prism? ๐Ÿ’ก Hint: Volume = length ร— width ร— height (V = l ร— w ร— h).
Answer:

Problem 3

A cube has sides of 5 cm. What is its volume? ๐Ÿ’ก Hint: V = 5 ร— 5 ร— 5 = 125 cubic cm.
Answer:

Problem 4

A rectangular container is 6 inches long, 4 inches wide, and 3 inches tall. Calculate its volume. ๐Ÿ’ก Hint: V = 6 ร— 4 ร— 3 = 72 cubic inches.
Answer:

Problem 5

If a box has a volume of 60 cubic units and is 5 units long and 3 units wide, how tall is it? ๐Ÿ’ก Hint: 60 = 5 ร— 3 ร— h, so h = 60 รท 15 = 4 units.
Answer:

Problem 6

A storage bin is 8 feet long, 6 feet wide, and 4 feet tall. What is its volume? ๐Ÿ’ก Hint: V = 8 ร— 6 ร— 4 = 192 cubic feet.
Answer:

Problem 7

What is the volume of a cube with 3-inch sides? ๐Ÿ’ก Hint: V = 3 ร— 3 ร— 3 = 27 cubic inches.
Answer:

Problem 8

A fish tank is 12 inches long, 8 inches wide, and 10 inches tall. Find its volume. ๐Ÿ’ก Hint: Use V = l ร— w ร— h.
Answer:

Problem 9

If a rectangular prism has a volume of 84 cubic cm and dimensions of 7 cm ร— 6 cm ร— ? cm, find the missing dimension. ๐Ÿ’ก Hint: 84 = 7 ร— 6 ร— h, so h = 84 รท 42 = 2 cm.
Answer:

Problem 10

A room is 15 feet long, 12 feet wide, and 9 feet tall. What is the volume of air in the room? ๐Ÿ’ก Hint: V = 15 ร— 12 ร— 9 = 1,620 cubic feet.
Answer: