7.3 Volume of Solids

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a pyramid with a base area of 16 yd² and a height of 4 yd.

Back

V = (1/3)Bh = (1/3)(16)(4) = 64 yd³.

Tags

CCSS.HSG.GMD.A.3

Front

What are the units for volume?

Back

The units for volume are always cubed (e.g., cubic meters, cubic feet).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What does the 'B' in the volume formula V = B x h stand for?

Back

B stands for the area of the base of the solid.

Tags

CCSS.7.G.B.6

Front

Find the volume of a sphere with a radius of 5 ft.

Back

V = (4/3)π(5)³ ≈ 523.6 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 3 ft and a height of 9 ft.

Back

V = (1/3)πr²h = (1/3)π(3)²(9) = 27π ft³ ≈ 84.8 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 4 cm?

Back

V = s³ = 4³ = 64 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

How do you find the volume of a rectangular prism?

Back

V = l × w × h, where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a hemisphere with a radius of 6 m?

Back

V = (2/3)πr³ = (2/3)π(6)³ = 144π m³ ≈ 452.4 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3