Volume
A box has length 4 cm, width 3 cm, and height 2 cm. Find its volume.
24 cm3
A shape is made of two prisms: Prism A is 3×2×2 and Prism B is 2×2×1. Find the total volume by adding the two volumes.
A = 12
B = 4
Total 16 units3
A fish tank is 10 in long, 5 in wide, and 6 in high. What is the volume?
Answer: 300 in3
Name the 3D shape that is a rectangular box with 6 rectangular faces.
rectangular prism
A rectangular prism has base area 15 in2 and a height of 4 in. Use V = a × h to find the volume.
60 in3
A composite solid consists of a 4×3×2 prism attached to a 4×1×2 prism, find the Total Volume.
First 24
Second 8
Total 32 units3
A cereal box is 12 cm long, 3 cm wide, and 8 cm tall. How many cubic centimeters of cereal fit inside?
288 cm3
Name the 3D shape that is a rectangular box with 6 rectangular faces.
cube
A toy block measures 5 cm by 3 cm by 2 cm. If you stack 6 identical blocks without gaps, what is the total volume?
single block 30 cm3, total 180 cm3
A larger prism measures 6×4×3, but a smaller 2×4×3 prism was cut out from one end. Find the remaining volume. (Hint: subtract volumes.)
Large 72
Cut-out 24
Remaining 48 units3
A moving box holds 48 cubic feet. If the box's base area is 8 square feet, what is the box's height? (Use V=a×h.)
6 ft because 48÷8=6
Which 3D shape has circular bases and a curved side (like a can)?
cylinder
A storage crate is 8 ft long, 2 ft wide, and 3 ft high. What is the volume in cubic feet? Then explain which dimensions correspond to length, width, and height.
48 ft3;
length = 8, width = 2, height = 3
Prism 1: 5×3×2. Prism 2: 5×2×2, Find the combined volume and show steps.
Prism1 30,
Prism2 20
Total 50 units3
A planter is 9 in by 4 in by 5 in. Soil costs $0.02 per cubic inch. How much will it cost to fill the planter?
Volume: 180 in3
Cost: 180×0.02=$3.60
Which 3D shape has one circular base and a point called the apex?
cone
Give three different sets of whole-number edge lengths (l, w, h) that all produce a volume of 36 cubic units36 cubic units.
(6,3,2)
(9,2,2)
(3,3,4).
Create a composite shape made of two rectangular prisms where the total volume is 90 units3. Provide dimensions for each prism and show the addition that totals 90.
Answers vary
A company ships a rectangular prism package with dimensions 15 in × 8 in × 6 in. Shipping volume pricing charges $0.01 per cubic inch. What is the shipping cost?
Volume: 720 in3
Cost: 720 x 0.01 = $7.20
Which 3D shape has one rectangular base and a point called the apex?
pyramid