UNIT 6 EXAM

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach? 

• 12 feet
• 13.5 feet
• 13 feet
• 11.6 feet

Tags

CCSS.8.G.B.8

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²
• 105 cm²
• 135 cm²
• 30 cm²

Tags

CCSS.8.G.B.8

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.
• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
• The difference of the areas of the two smaller squares is equal to the area of the large square.
• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Tags

CCSS.8.G.B.8

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

• 22.2 cm
• 6.6 cm
• 2.4 cm

Tags

CCSS.8.G.B.7

Find the missing length.

• c = 8

• c = 8.2

• c = 7.2

• c = 7

Tags

CCSS.8.G.B.7

Find the Volume of the Cone

• 150.79 cm³

• 75.36 cm³
• 452.16 cm³
• 151 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the Sphere

• 78.5 m³
• 392.5 m³
• 523.6 m³
• 62.8 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the solid shown in the figure?

• 4521.6 m³

• 6621.2 m³

• 1130.9 m³

• 376.8 m3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup? Use the π key.

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet?

• 176.7 ft³

• 141.3 ft³
• 88.3 ft³
• 70.7 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3