Go through the **Spectrum Math Grade 6 Answer Key Chapter 6 Lesson 6.5 Problem Solving** and get the proper assistance needed during your homework.

## Spectrum Math Grade 6 Chapter 6 Lesson 6.5 Problem Solving Answers Key

**Solve each problem.**

Question 1.

Mr. Ruiz’s rectangular vase is 3 inches long, 2 inches wide, and 9 inches tall. What is the volume of the vase?

The volume of the vase is _____ cubic inches.

Answer:

Given that the rectangular vase is 3 inches long, 2 inches wide, and 9 inches tall.

Volume of the vase = length×width×height

= 3×2×9

= 54 cu.in

The volume of the vase is 54 cubic inches.

Question 2.

Andrew has an aquarium that is 16 inches long, 10 inches wide, and 9 inches deep. What is the

volume of Andrew’s aquarium?

The volume of Andrew’s aquarium is _____ cubic, inches.

Answer:

Given that the aquarium is 16 inches long, 10 inches wide, and 9 inches deep.

Volume of the Andrew’s aquarium = length×width×height

= 16×10×9

= 1440

The volume of Andrew’s aquarium is 1440 cubic inches.

Question 3.

A city park is shaped like a right triangle. Its base is 20 yards and its depth is 48 yards. What is the area of the park?

The area of the park is ________ square yards.

Answer:

Given that the park has base of 20 yards and its depth is 48 yards.

Area of the park = \(\frac{1}{2}\) × base × height

= \(\frac{1}{2}\) × 20 × 48

= 960÷2

= 480 sq.yards

Question 4.

A paving brick is 3 inches wide, 2 inches high, and 6 inches long. What is the volume of the brick?

The volume is ____ cubic inches.

Answer:

Given that the brick is 3 inches wide, 2 inches high, and 6 inches long.

Volume of the brick = length×width×height

= 6×3×2

= 36 sq.in

Question 5.

A tabletop is shaped like a right triangle with a base of 25 inches and a depth of 30 inches. What is the

area of the tabletop?

The area of the tabletop ¡s _________ square inches.

Answer:

Given that a tabletop is shaped like a right triangle with a base of 25 inches and a depth of 30 inches.

Area of the park = \(\frac{1}{2}\) × base × height

= \(\frac{1}{2}\) × 25 × 30

= \(\frac{1}{2}\) × 750

= 375

The area of the tabletop is 375 square inches.

Question 6.

A rectangular playground is 90 yards long and 40 yards wide. What ¡s the area of the playground?

The area of the playground is _________ square yards.

Answer:

Given that a rectangular playground is 90 yards long and 40 yards wide.

Area of the park = length×width

= 90×40

= 3600

The area of the playground is 3600 square yards.

Solve each problem.

Question 1.

Craig’s backyard is a rectangle 25 meters long and 20 meters wide. What is the area of Craig’s yard?

The area of Craig’s yard is _________ square meters.

Answer:

Given that Craig’s backyard is a rectangle 25 meters long and 20 meters wide.

Area of the backyard = length×width

= 25×20

= 500

The area of Craig’s yard is 500 square meters.

Question 2.

A shipping crate is 0.85 meters long, 0.4 meters wide, and 0.3 meters high. What is the volume of the crate?

The crate’s volume is ____ cubic meters.

Answer:

Given that a shipping crate is 0.85 meters long, 0.4 meters wide, and 0.3 meters high.

Volume of the crate = length×width×height

= 0.85 × 0.4 × 0.3

= 0.102

The crate’s volume is 0.102 cubic meters.

Question 3.

A rectangular poster is 45 centimeters long and 28 centimeters wide. What ¡s the area of the poster?

The poster’s area is _________ square centimeters.

Answer:

Given that a rectangular poster is 45 centimeters long and 28 centimeters wide.

Area of the rectangular poster = length×width

= 45×28

= 1260

The poster’s area is 1260 square centimeters.

Question 4.

A room is 8.6 meters wide and 10.2 meters long. What is the area of the room?

The area of the room is _________ square meters.

Answer:

Given that a room is 8.6 meters wide and 10.2 meters long.

Area of the room = length×width

= 8.6×10.2

= 87.72

The area of the room is 87.72 square meters.

Question 5.

Megan’s jewelry box is 25 centimeters long, 12 centimeters wide, and 10 centimeters high. What is the volume of Megan’s jewelry box?

The volume of Megan’s jewelry box is ____ cubic centimeters.

Answer:

Given that the Megan’s jewelry box is 25 centimeters long, 12 centimeters wide, and 10 centimeters high.

Volume of Megan’s jewelry box = length×width×height

= 25×12×10

= 3000

The volume of Megan’s jewelry box is 3000 cubic centimeters.

Question 6.

A rectangular CD jewel case is approximately 14 centimeters long and 12 centimeters wide. What is the area of the CD jewel case?

The area of the jewel case is ____ square centimeters.

Answer:

Given that a rectangular CD jewel case is approximately 14 centimeters long and 12 centimeters wide.

Area of the jewel case = length×width

= 14×12

= 168

The area of the jewel case is 168 square centimeters.