2.13 Unit Test Area And Volume

Question: What is the area of this figure?

Enter your answer in the box.

https://static.k12.com/nextgenmedia/assets/8093688-NGGMTSemB09UT01.png

Answer: 44 units2

Question: What is the volume of a square pyramid with a base length of 5 cm and a height of 6 cm?

Enter your answer in the box.

Answer: 50 cm2

Question: Isabella’s Ice Cream Parlor uses waffle cones that are 5 inches in diameter and 6 inches tall.

What is the volume of ice cream that completely fills one cone to the top?

Enter your answer as a decimal in the box. Use 3.14 for pi.

Answer: 39.25 in3

Question: Spaceship Earth, a major tourist attraction, is a sphere whose diameter is approximately 50 m.

What is the volume of Spaceship Earth?

Use 3.14 for pi.

Enter your answer, as a decimal, in the box. Round only your final answer to the nearest hundredth.

Answer: 65416067 m3

Question: A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5.

What is the perimeter of the resulting rectangle?

Enter your answer in the box.

Answer: 72 ft

Question: A triangle has an area of 30 cm². The base and height are scaled by a factor of 3.

What is the area of the resulting triangle?

Enter your answer in the box.

Answer: 270 cm

Question: Two similar solids have a scale factor of 5:3 .

What is the ratio of their volumes, expressed in lowest terms?

Enter your answer in the boxes.

Answer: 125 : 27

Question: A cylinder has a height of 21 cm and a volume of 11,144 cm³.

What is the radius of the cylinder?

Round your answer to the nearest whole number.

Answer: 13 cm

Question: A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high.

Approximately how much salsa did Kelly eat?

Round your final answer to the nearest whole number.

Answer: 565 cm³

Question: The city is planning to build a new park by enlarging the current park by a scale factor of 4. The current park has an area of 37,625 yd².

What is the area of the new park?

Enter your answer in the box.

Answer: 602000 yd2