Unit 3 Test Review: The Pythagorean Theorem and Volume

Find the length of the missing side. 

• 48 in.
• 52 in.
• 16 in.
• 24 in.

Tags

CCSS.8.G.B.7

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8

• The top of the ladder is 8.9 ft from the ground
• The top of the ladder is 9.2 ft from the ground
• The top of the ladder is 16.5 ft from the ground
• The top o the ladder is 14.4 ft from the ground

Tags

CCSS.8.G.B.8

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 179.50 cm³
• 205.15 cm³
• 51.29 cm³
• 1436.03 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 12.56 ft³
• 37.68 ft³
• 18.84 ft³
• 6.28 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula used for the Pythagorean Theorem?

• a + b = c
• a² + b² = c²
• a₂ + b₂ = c₂
• a x b = c

Tags

CCSS.8.G.B.8

Why do we use the Pythagorean Theorem?

• To find the missing side of a right triangle
• To find the area of a triangle
• To find the volume of a cone
• To find the circumference of a circle

Tags

CCSS.8.G.B.8

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 13
• 17
• 7

Tags

CCSS.8.G.B.7

If the ramp is 21 feet long, and ends 19 feet away from the building, how high (h) is the ramp?

• 2.19 ft
• 8.9 ft
• 28.3 ft

Tags

CCSS.8.G.B.8

If a boat sailed six miles north and eight miles east, how far away is it from its original location?  (find d)

• 100 miles
• 14 miles
• 10 miles
• 2 miles

Tags

CCSS.8.G.B.8