Volume of 3D Solids

Find the volume of the sphere. Round to 3 decimal places.

Volume = (a)   in³

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of the right rectangular prism shown

Volume = (a)   cm³

Tags

CCSS.7.G.B.6

A cube has a surface area of 150 mm². What is the volume of the cube?

• 5 mm

• 125 mm³

• 150 mm³

• 1837.117 mm³

• 300 mm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Find the volume of the right cylinder shown

• $2160\pi\ m^3$

• $180\pi\ m^3$

• $2700\pi\ m^3$

• $1830\pi\ m^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of the pyramid shown.

Volume = (a)   ft³

Tags

CCSS.HSG.GMD.A.3

The area of the base of the cone shown is  $16\pi$ .  Find the volume of the cone.

•  $4$  

•  $80\pi$  

•  $20\pi$  

•  $26.\overline{6}\ \pi$  

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The volume of the cylinder shown is  $168\pi\ ft^3$ .  What's the height of the cylinder?

(a)  

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The cone has a height of 6 in and a slant height of 8 in. What's the volume of the cone?

Hint: use pythagorean theorem to find the radius

•  $56\pi\ in^3$  

•  $128\pi\ in^3$  

•  $200\pi\ in^3$  

•  $96\pi\ in^3$  

•  $10.583\pi\ in^3$  

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of the solid shown.

• $171\pi\ m^3$

• $63\pi\ m^2$

• $144\pi\ m^3$

• $153\pi\ m^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Challenge: Ms. V saw this apparatus at the dog park. It's a plastic rectangular prism with a cylindrical hole drilled through the middle for dogs to run through. Assuming it's solid plastic, how many cubic meeters are needed to construct it? (In other words, what's the volume)

Round your answer to 3 decimal places.

(a)  

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9