Volume and Surface Area of Prisms and Cylinders

Front

What is the formula for the volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated using the formula: V = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(length × width + length × height + width × height).

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = π × radius² × height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the surface area of a cylinder?

Back

The surface area (SA) of a cylinder is calculated using the formula: SA = 2π × radius × (radius + height).

Front

If a rectangular prism has a length of 2, width of 2, and height of 3, what is its volume?

Back

Volume = 2 × 2 × 3 = 12 cubic units.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 2.5 cm and a height of 11 cm?

Back

Volume = π × (2.5)² × 11 ≈ 216.5 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of an aquarium that is a rectangular prism?

Back

Multiply the length, width, and height of the aquarium: Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surfaces.

Front

If a can of soup has a radius of 4 cm and a height of 7.5 cm, what is its volume?

Back

Volume = π × (4)² × 7.5 ≈ 150.8 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the surface area of a rectangular prism with dimensions 3 cm × 4 cm × 5 cm?

Back

Surface Area = 2(3×4 + 3×5 + 4×5) = 2(12 + 15 + 20) = 2(47) = 94 cm².

Tags

CCSS.7.G.B.6