Volume of Rectangular Prisms
What is the volume of a rectangular prism with length 5 units, width 3 units, and height 2 units? (Show the multiplication.)
5 x 3 x 2 = 30 cubic units
Two non-overlapping rectangular prisms have volumes 24 cubic units and 18 cubic units. What is the total volume when they are joined?
24+18=42 cubic units
How many cubic units are in a unit cube with side length 1? State the term used for that volume.
One unit cube has volume of one cubic unit; called a "unit cube" and volume is one cubic unit
A fish tank is 4in long, 3in wide, and 2in tall. What is its volume in cubic inches?
4 x 3 x 2 = 24 cubic inches
Prism A is 2×3×4. Prism B is 3×3×2. Which prism has greater volume or are they equal? Show volumes.
A: 2×3×4=24; B: 3×3×2=18; Prism A is larger.
A box has a base that is 4 units by 6 units and a height of 3 units. Write the formula you use and find the volume.
4 x 6 x 3 = 72 cubic units
A composite solid is made of a prism of volume 30 cubic units attached to another prism of volume 45 cubic units. Find the combined volume.
30+45=75 cubic units
Convert: How many cubic inches are in a rectangular prism that measures 2 in×3 in×4 in2 in×3 in×4 in? (State units.)
2×3×4=24 cubic inches
A cereal box has base 6 in by 2 in and height 10 in. How many cubic inches of cereal would fill the box?
6 x 2 x 10 = 120 cubic inches
Box X is 6×2×2. Box Y is 3×4×2. Which has greater volume? Explain.
X: 6×2×2=24; Y: 3×4×2=24; Equal volumes.
A rectangular prism has a volume of 60 cubic units. If its base area is 12 square units, what is its height?
60 x 12 = 720 cubic units
A shape is formed by attaching a prism of dimensions 3 by 4 by 2 to a prism of dimensions 3 by 4 by 5 along their 3×4 faces. Find the total volume.
First prism: 3×4×2=24; second: 3×4×5=60; total 24+60=84 cubic units
Which is larger: a prism that is 10cm × 1cm × 1cm or one that is 2cm × 2cm × 3cm? Find volumes and compare.
First: 10×1×1=10 cm3; second: 2×2×3=12 cm; second is larger.
A LEGO model needs a container that is at least 120 cubic units. If your container is a rectangular prism with base area 12 square units, what minimum whole-number height will work?
10 units
A cube with side length 4 units and a rectangular prism with dimensions 8×2×2 — compare their volumes and state which is larger.
Cube: 4×4×4=64; Prism: 8×2×2=32; cube is larger.