Volume and Surface Area

Front

What is surface area?

Back

The sum of the areas of all the surfaces (faces) of a 3D shape.

Front

What is volume?

Back

The amount of space occupied by a 3D shape, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with side length 3 cm?

Back

27 cm³ (Volume = side³ = 3³).

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

How do you find the surface area of a cube?

Back

Surface Area = 6 × (side length)².

Tags

CCSS.6.G.A.4

Front

What is a square pyramid?

Back

A 3D shape with a square base and four triangular faces that meet at a point (the apex).

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you calculate the volume of a square pyramid?

Back

Volume = (1/3) × base area × height.

Tags

CCSS.HSG.GMD.A.3

Front

What is the formula for the surface area of a square pyramid?

Back

Surface Area = base area + (1/2) × perimeter of base × slant height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 2 cm and height of 5 cm?

Back

Volume = πr²h = π(2)²(5) = 20π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3