Surface Area and Volume of Compound Figures

Calculate the total external surface area of the compound shape shown.

Calculate the capacity, in litres, of this compound shape.

• 42.47 L

• 74.63 L

• 42470 L

• 7463 L

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

This is the cross-section of a swimming pool in a resort.

Calculate the capacity of the pool in kilolitres if the pool is filled to a depth of 1·2 m.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A water trough to feed livestock is to be constructed from sheet metal in the shape of a half cylinder. Its diameter is 40 cm and length is 3 m.

Calculate the area of sheet metal required to make the trough.

(a)  

What is the surface area of this composite figure?

• 60π cm ²

• 45π cm ²

• 57π cm ²

• 48π cm ²

What is the surface area of the bottom figure?

• 202 mm²

• 129 mm²

• 192 mm²

• 1,292 mm²

Find the surface area

Find the Volume of the composite figure.

• 2448 ft³

• 1440 ft³

• 3456 ft³

• 2112 ft³

Tags

CCSS.5.MD.C.5C

What is the surface area of the composite solid?

• 216 m2

• 248 m2

• 256 m2

• 224 m2

Find the SURFACE AREA.

• 432 m2

• 264 m2

• 4320 m2

• 312 m2

Tags

CCSS.7.G.B.6