## Math Expressions Common Core Grade 5 Unit 8 Lesson 13 Answer Key Volume of Composite Solid Figures

**Math Expressions Grade 5 Unit 8 Lesson 13 Homework**

**Find the volume of each composite solid figure.**

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

The volume of the figure is 204 cu in.

Explanation:

Here, we will divide the figure into rectangles, and then we will find the volume of each rectangle, then we will add them. So the volume of the rectangle is

V = l × w × h,

V1 = 4 × 13 × 3

= 156 cu in.

V2 = 3 × 4 × 4

= 48 cu in.

So the volume of the solid figure is 156 + 48

= 204 cu in.

Question 4.

The exterior of a refrigerator is shaped like a rectangular prism, and measures 2\(\frac{2}{3}\) feet wide by 5\(\frac{1}{2}\) feet high by 2\(\frac{1}{2}\) feet deep. What amount of space does the refrigerator take up?

Answer:

The amount of space does the refrigerator take-up is 36 \(\frac{2}{3}\) cu ft.

Explanation:

Given that the exterior of a refrigerator is shaped like a rectangular prism, and measures 2\(\frac{2}{3}\) feet wide by 5\(\frac{1}{2}\) feet high by 2\(\frac{1}{2}\) feet deep. So the amount of space does the refrigerator take-up is 2\(\frac{2}{3}\) × 5\(\frac{1}{2}\) × 2\(\frac{1}{2}\)

= \(\frac{8}{3}\) × \(\frac{11}{2}\) × \(\frac{5}{2}\)

= \(\frac{440}{12}\)

= 36 \(\frac{2}{3}\) cu ft.

Question 5.

In the space below, draw a composite solid of your own design that is made up of two prisms. Write the dimensions of your design, and then calculate its volume.

Answer:

**Math Expressions Grade 5 Unit 8 Lesson 13 Remembering**

**Divide.**

Question 1.

Answer:

= 70.

Explanation:

Here, we will change the divisor 0.7 to a whole number by moving the decimal point 1 place to the right, and then we will move the decimal point in the dividend to the same 1 place right.

Question 2.

Answer:

= 1000.

Explanation:

Here, we will change the divisor 0.05 to a whole number by moving the decimal point 2 places to the right, and then we will move the decimal point in the dividend to the same 2 places right.

Question 3.

Answer:

= 0.8

Explanation:

Here, we will change the divisor 0.8 to a whole number by moving the decimal point 1 place to the right, and then we will move the decimal point in the dividend to the same 1 place right.

Question 4.

Answer:

= 600.

Explanation:

Here, we will change the divisor 0.06 to a whole number by moving the decimal point 2 places to the right, and then we will move the decimal point in the dividend to the same 2 places right.

Question 5.

Answer:

= 3,132.

Explanation:

Here, we will change the divisor 0.3 to a whole number by moving the decimal point 1 place to the right, and then we will move the decimal point in the dividend to the same 1 place right.

Question 6.

Answer:

= 455.

Explanation:

Here, we will change the divisor 0.06 to a whole number by moving the decimal point 2 places to the right, and then we will move the decimal point in the dividend to the same 2 places right.

**Solve.**

Question 7.

A fish tank is 20 feet long, 12 feet wide, and 10 feet deep. What is the volume of the fish tank?

Answer:

The volume of the fish tank is 2,400 cubic feet.

Explanation:

Given that a fish tank is 20 feet long, 12 feet wide, and 10 feet deep. So the volume of the fish tank is 20 × 12 × 10 which is 2,400 cubic feet.

Question 8.

**Stretch Your Thinking** Draw a composite solid in the space below using two different rectangular prisms. Label the length and width using fractions of units. The figures do not need to be to scale. Find the volume of the figure.

Answer: