Formulas for Volume
Write the formula for volume of a rectangular prism.
V=l×w×h
or
V=bxh
Match this prism (3 × 2 × 5) with the correct expression:
(3 × 2) × 5 or 3 × (2 × 5)
Both are correct, the volume is 30 cm³
How do you find the volume of a solid figure made of 2 prisms?
Find each prism’s volume, then add them
What unit would you use to measure a car inches or feet?
Feet
A prism is 5 cm × 2 cm × 4 cm. Find its volume.
40 cm³
True or False: (l×w)×h is the same as l×(w×h)
True
Prism A and B are connected. Prism A: 2 × 3 × 4. Prism B: 2 × 3 × 2. Find total volume of the prism.
24 + 12 = 36 cubic units
A fish tank is 10 in × 6 in × 8 in. Find the volume
480 in³
A prism has a base area of 15 cm² and a height of 6 cm. Find its volume
90 cm³
Write a different expression for a prism with dimensions 4 × 3 × 2
12 x 2= 24
or
(3 × 2) × 4 = 24
A solid figure has two prisms: Prism A = 5 × 2 × 2, Prism B = 5 × 2 × 3. Find volume of the solid figure.
20 + 30 = 50 cubic units
A box is 12 in × 4 in × 3 in. How many 1-in³ cubes can fit inside?
144 cubes
Compare l×w×h and b×h. How are they the same? (What are they finding?)
Both find the prism’s volume
Which prism matches the expression (6 × 4) × 5
A prism with base 6 × 4 and height 5 (volume = 120)
Why can two different solid figures have the same volume but look different?
Because volume is about total space, not shape.
A shipping box is 8 ft × 2 ft × 2 ft
A prism’s volume is 96 cm³. Its length is 8 cm, width is 2 cm. What is the height?
6 cm
Explain why different expressions can represent the same prism’s volume.
Because multiplication is commutative.
Create an expression using lxwxh to have a total volume of 60 units.
1 unit x 1 unit x 60 units
1 unit x 2 units x 30 units
1 unit x 3 units x 20 units
1 unit x 4 units x 15 units
1 unit x 5 units x 12 units
1 unit x 6 units x 10 units
2 units x 2 units x 15 units
2 units x 3 units x 10 units
2 units x 5 units x 6 units
3 units x 4 units x 5 units
A storage shed is 10 m long, 4 m wide, and 3 m high. How many 1 m³ boxes can it hold?
120 boxes