Volume Basics
What is volume?
The amount of space a 3D object takes up
What is surface area?
The total area of all the faces of a 3D object
What is the formula for the volume of a rectangular prism?
V = length × width × height
A box is 2 m long, 1 m wide, and 1 m high. What’s its volume?
2 m³
True or False: Surface area is always larger than volume.
false
What unit do we use to measure volume?
Cubic units like cm³ or m³
What unit do we use to measure surface area?
Square units like cm² or m²
What is the formula for the volume of a cube?
V = side x side x side
A cube-shaped gift box has a volume of 27 cm³. What is the side length?
3 cm
If a cube’s volume is 8 cm³, what’s the surface area?
Side = 2cm, SA = 24 cm²
Find the volume of a cube with side length 4 cm.
64 cm³
How many faces does a cube have?
6
What is the formula for the surface area of a cube?
SA = 6 × side x side
A cereal box is 20 cm tall, 10 cm wide, and 5 cm deep. Find the volume.
1000 cm³
The box's volume is doubled. What must happen to its dimensions?
one or more dimensions must increase
A rectangular prism has dimensions 3 cm × 2 cm × 5 cm. What is the volume?
30 cm³
A cube has sides of 5 cm. What is its surface area?
150 cm²
Name one formula to calculate the surface area of a rectangular prism.
SA = 2lw + 2lh + 2wh
A shipping box is 4 m long, 2 m wide, and 1.5 m high. What is the surface area?
52 m²
Find the volume of a box that’s 3.5 m × 2 m × 1.2 m.
8.4 m³
If a tank is 1.5 m long, 2 m wide, and 1 m high, what is the volume?
3 m³
A rectangular prism has dimensions 2 cm × 3 cm × 4 cm. What is the surface area?
52 cm²
If a cube has a surface area of 54 cm², what is the side length?
3 cm
A toy box has a volume of 1200 cm³. It is 10 cm high and 6 cm wide. What is its length?
20 cm
A cube has a surface area of 600 cm². What is the volume?
Side = 10 cm, Volume = 1000 cm³