Unit 6 Study Guide

The figure has an area of 126 cm². Which equation can be used to find the value of x?

• (12)(12)+½(12)x=126

• (12)(12)-½(12)x=126

• (12)(12)+(12)x=126

• (12)(12)-(12)x=126

What is the volume of the prism, in cubic meters?

• 700 cubic meters

• 200 cubic meters
• 350 cubic meters

• 400 cubic meters

Tags

CCSS.7.G.B.6

MN and SP intersect at point Q. What is m∠MQS and m∠SQN?

• m∠MQS = 120°

  m∠SQN = 60°

• m∠MQS = 122°

  m∠SQN = 58°

• m∠MQS = 100°

  m∠SQN = 80°

• m∠MQS = 175°

  m∠SQN = 5°

Tags

CCSS.7.G.B.5

Which of the following slices will always produce a triangle plane section? Choose all the correct answers.

• Slicing a triangular prism parallel to its base.

• Slicing a triangular pyramid perpendicular to its base.

• Slicing a cube at an angle that is neither parallel nor perpendicular to any of its faces.

• Slicing a triangular pyramid parallel to its base.

• Slicing a triangular prism perpendicular to its base.

Wyatt is building a fort using sticks. The roof of the fort is triangular, and two of the sticks are 7 feet and 9 feet. What are the conditions for the third side of the roof, where x is the length of the third side? Choose all the correct answers.

• x+7>9

• x+9>7

• 7+9<x

• x>16

• x>2

Decide if the side lengths can be made into a triangle.

Groups:

(a) Triangle

,

(b) No Triangle

• 4,9,8

• 7,7,7

• 10,15,4

• 1,8,9

What is the volume of the composite figure?

• 12,600

• 2400

• 15,000

• 10,200

Tags

CCSS.5.MD.C.5C

A right rectangular prism has a surface area of 214 cm2. Its height is 7 cm, and its length is 5 cm. Which equation can be used to find the prism's width, w, in centimeters?

• 35+12w=214

• 70+14w=214

• 35+10w=214

• 70+24w=214

Tags

CCSS.HSA.CED.A.3

The volume of the right prism is 252 ft³. What is the surface area of the prism, in square feet?

• 282 ft²

• 126 ft²

• 252 ft²

• 378 ft²

Tags

CCSS.7.G.B.6

AB intersects CD at point Z, and EZ ⊥ AB. What is m∠AZD?

• 90 degrees
• 36 degrees

• 15 degrees

• 141 degrees

Tags

CCSS.7.G.B.5