TEKS 7.9A Worksheets — Grade 7 Solve problems involving the volume of rectangular

Evelyn is designing a rectangular prism-shaped aquarium for her home in Austin. The aquarium will have a length of 4.5 feet, a width of 2 feet, and a height of 3 feet. What is the volume of the aquarium in cubic feet?

1. 27 ✓
2. 30
3. 36
4. 24

Why: To find the volume of a rectangular prism, you use the formula: Volume = length × width × height. In this case, the volume is calculated as follows: 4.5 feet × 2 feet × 3 feet = 27 cubic feet. Therefore, the correct answer is 27.

Lucia is helping her family build a rectangular storage shed in their backyard in McAllen, Texas. The shed will have a length of 8 feet, a width of 5 feet, and a height of 4 feet. What is the volume of the shed in cubic feet? Use the formula for the volume of a rectangular prism, which is V = length × width × height.

1. 160 ✓
2. 140
3. 80
4. 200

Why: To find the volume of the shed, use the formula for the volume of a rectangular prism: V = length × width × height. Substituting in the values: V = 8 feet × 5 feet × 4 feet = 160 cubic feet. Thus, the correct answer is 160.

Camille is designing a rectangular garden in Central Texas that will be 4 feet long, 3 feet wide, and 2 feet deep. She wants to fill the garden with soil to a height of 1 foot. What is the volume of the soil she will need in cubic feet?

1. 12 ✓
2. 6
3. 8
4. 10

Why: To find the volume of the soil, calculate the volume of the garden that will be filled to a height of 1 foot. The formula for the volume of a rectangular prism is length × width × height. Here, the length is 4 feet, the width is 3 feet, and the height for the soil is 1 foot. Thus, the volume is 4 × 3 × 1 = 12 cubic feet. Therefore, Camille will need 12 cubic feet of soil.

Cristian is building a rectangular prism-shaped flower box for his garden in Texas. The flower box is designed to be 2 feet high, 4 feet long, and 3 feet wide. To calculate how much soil Cristian needs to fill the flower box, what is the volume of the box in cubic feet?

1. 24 ✓
2. 30
3. 12
4. 20

Why: To find the volume of a rectangular prism, you multiply the length, width, and height together. For Cristian's flower box, the volume is calculated as 4 feet (length) × 3 feet (width) × 2 feet (height) = 24 cubic feet. Therefore, Cristian needs 24 cubic feet of soil to fill the box.

Cristian is helping his family build a rectangular prism-shaped greenhouse in their backyard in Austin, Texas. The dimensions of the greenhouse are 4 feet in height, 6 feet in width, and 10 feet in length. What is the volume of the greenhouse in cubic feet?

1. 240 ✓
2. 60
3. 40
4. 24

Why: To find the volume of a rectangular prism, use the formula: Volume = length × width × height. For Cristian's greenhouse, the dimensions are 10 feet (length) × 6 feet (width) × 4 feet (height). Thus, the volume is 10 × 6 × 4 = 240 cubic feet. Therefore, the correct answer is 240.

Adriana is building a model of a triangular prism for her science project, inspired by the Texas Hill Country. The base of the prism is a triangle with a base of 6 inches and a height of 4 inches. The prism has a length of 10 inches. What is the volume of Adriana's triangular prism in cubic inches?

1. 80
2. 120 ✓
3. 240
4. 60

Why: To find the volume of a triangular prism, you can use the formula: Volume = (1/2 * base * height) * length. First, calculate the area of the triangular base: (1/2 * 6 * 4) = 12 square inches. Then, multiply the area of the base by the length of the prism: 12 * 10 = 120 cubic inches. Therefore, the volume of Adriana's triangular prism is 120 cubic inches.

Henry is building a rectangular prism-shaped storage shed for his tools in Galveston, Texas. The shed will be 8 feet long, 5 feet wide, and 4 feet high. To calculate the volume of the shed, which expression would best represent the volume in cubic feet?

1. 8 * 5 * 4 ✓
2. 2 * (8 + 5) * 4
3. 8 + 5 + 4
4. 2 * 8 + 5 * 4

Why: To find the volume of a rectangular prism, you use the formula Volume = length * width * height. Here, the length is 8 feet, the width is 5 feet, and the height is 4 feet. So, the volume is calculated as 8 * 5 * 4, which equals 160 cubic feet. Therefore, the correct expression representing the volume is 8 * 5 * 4.

Mateo is designing a small greenhouse for his backyard in Waco, Texas. The greenhouse will be in the shape of a rectangular prism with a length of 10 feet, a width of 6 feet, and a height of 5 feet. What is the volume of the greenhouse in cubic feet?

1. 300 ✓
2. 250
3. 180
4. 150

Why: To find the volume of a rectangular prism, you multiply the length, width, and height together. In this case, the volume is calculated as 10 feet × 6 feet × 5 feet, which equals 300 cubic feet. Therefore, the correct answer is 300.