CHALLENGE Volume of Composite Solids and Pythagorean Theorem

Which equation would you use to find the volume of this composite figure?

• π(2)²(8) + ⁴/₃π(2)³
• π(2)²(4) + ⁴/₃π(2)³

Tags

CCSS.7.G.B.6

Which equation would you use to find the volume of this composite figure? 

• 8³ + ⁴/₃π(8)³
• 8³ + ⁴/₃π(4)³
• 8³ + (¹/₂)(⁴/₃)π(4)³

Tags

CCSS.HSG.GMD.A.3

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

• 4825.5 ft³
• 1206.4 ft³

Tags

CCSS.7.EE.B.3

CCSS.7.G.B.6

Find the volume of the composite solid.
Use 3.14 for pi.

• 891.76 cm³
• 420.76 cm³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Find the volume of the composite solid.
Use 3.14 for pi.

• 188.4 m³
• 753.6 m³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

Calculate the volume

• 452.4 in³

• 226.2 in³

• 150.8 in³

Tags

CCSS.7.G.B.6

Find the volume.

• 1112.3
• 1343.4
• 1423.2
• 1500.6

Tags

CCSS.7.G.B.6

Find the volume of the empty space left inside the cylinder.

• 261.8
• 246.3
• 321.4
• 1245.5

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?

• 10
• 25
• 175
• 625

Tags

CCSS.HSG.SRT.C.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.HSG.SRT.C.8