Geometry Unit 2 review Volume

2. What is the volume of a square pyramid with a base length of 3 cm and a height of 10 cm? V=1/3(Bh)

Answer explanation

Tags

CCSS.HSG.GMD.A.3

3. A tower has a cone-shaped attic. The diameter of the attic is 9 ft and its height is 12 ft. What is the volume of the space in the attic? Use 3.14 for pi. (Don’t round your answer)

V of a Cone= 1/3(pi)(r^2)(h)

V of a Cylinder=pi(r^2)h

• 113.04 ft ^3

• 56.52 ft^3

• 254.34 ft^3

• 254 ft^2

Answer explanation

Remember to find the radius, which will be half of the diameter!

v=1/3pi(r)^2(12)

V= 254.34 ft^3

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

4. The diameter of a ball is 10.5 cm. What is the volume of the ball?

Use 3.14 for pi. Round only your final answer to the nearest hundredth.

V=4/3 (pi)r^3

Answer explanation

Volume is about 605.82cm^3

Tags

CCSS.HSG.GMD.A.3

A rectangle has a perimeter of 54 in. The length and width are scaled by a factor of 4.5. What is the perimeter of the resulting rectangle?

Answer explanation

If the original shape has a perimeter of 54 in, and you are looking for the perimeter of that shape scaled to 4.5 than you will multiply

54(4.5) = 243in

Tags

CCSS.HSG.SRT.A.1

A triangle has an area of 25 cm^2. The base and height are scaled by a factor of 3. What is the area of the resulting triangle?

Answer explanation

A2=225cm^2

Tags

CCSS.HSG.SRT.A.1

Two similar solids have a scale factor of 5 : 6.

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

• 125 / 216

• 25/36

• 15/18

• 250/432

Answer explanation

Tags

CCSS.HSG.SRT.A.1

A cylinder has a height of 18 cm and a volume of 2770 cm3. What is the radius of the cylinder? Round your answer to the nearest whole number.

𝑉_𝐶𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋𝑟^2 ℎ

• 7 cm

• 14 cm

• 49 cm

• 154 cm

Answer explanation

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CCSS.HSG.GMD.A.3

A full glass of water 8 inches tall and has a radius if 2 inches. Kira drank some of the water and now the water left in the glass is 5 inches high. How much water did Kira drink? Round your final answer to the nearest whole number.

• 63 in^3

• 38 in^3

• 100 in^3

• 10 in^3

Answer explanation

Tags

CCSS.HSG.GMD.A.3

10The city is planning to build a new park by enlarging the current park by a scale factor of 5. The current park has an area of 25,625 m2. What is the area of the new park?

Answer explanation

The city is planning to build a new park by enlarging the current park by a scale factor of 5. The current park has an area of 25,625 m2. What is the area of the new park?

Tags

CCSS.HSG.SRT.A.1

​ 12. A cone with volume 8000 ft3 is dilated by a scale factor of 1/4. What is the volume of the resulting cone?

Answer explanation

12. A cone with volume 8000 ft3 is dilated by a scale factor of 1/4. What is the volume of the resulting cone?

Tags

CCSS.HSG.GMD.A.3

CCSS.HSG.SRT.A.1