Perimeter, Area, and Volume Word Problems

A farmer needs to make a new pen for his pigs. He wants to put a fence around the pen. The pen measures 12 yards by 16 yards. How much fencing does he need for the pen?

• 44 yards

• 56 yards

• 28 yards

• 64 yards

Answer explanation

To find the amount of fencing needed, calculate the perimeter of the pen. The formula for perimeter is P = 2(length + width). Here, P = 2(12 + 16) = 2(28) = 56 yards. Thus, the farmer needs 56 yards of fencing.

Mrs. Lopez needs to cover the bulletin board in her classroom with paper. The board measures 6 feet by 8 feet. How much paper will she need to cover the bulletin board?

• 36 square feet

• 48 square feet

• 54 square feet

• 42 square feet

Answer explanation

To find the area of the bulletin board, multiply the length by the width: 6 feet x 8 feet = 48 square feet. Therefore, Mrs. Lopez will need 48 square feet of paper to cover the bulletin board.

A swimming pool is 20 feet long, 10 feet wide, and 4 feet deep. How much water can the swimming pool hold if it is full?

• 400 cubic feet

• 800 cubic feet

• 600 cubic feet

• 1000 cubic feet

Answer explanation

To find the volume of the swimming pool, multiply its length, width, and depth: 20 ft x 10 ft x 4 ft = 800 cubic feet. Therefore, the pool can hold 800 cubic feet of water when full.

Sonia is putting new carpet in her living room. The room is 12 feet wide and 13 feet long. How much carpet will she need to cover the floor in her living room?

• 120 square feet

• 156 square feet

• 144 square feet

• 130 square feet

Answer explanation

To find the area of the living room, multiply the width by the length: 12 feet x 13 feet = 156 square feet. Therefore, Sonia will need 156 square feet of carpet to cover the floor.

Mia wants to make cards for her family. She wants to glue a ribbon around the front of the card. Each card measures 4 inches by 6 inches. How many inches of ribbon will she need for each card?

• 16 inches

• 24 inches

• 20 inches

• 18 inches

Answer explanation

To find the ribbon needed, calculate the perimeter of the card. The formula is 2(length + width). For a 4x6 card: 2(4 + 6) = 2(10) = 20 inches. Thus, Mia needs 20 inches of ribbon for each card.

A toy store receives a box that is 15 cm long, 10 cm wide, and 5 cm high. How much space is inside the box for toys?

• 500 cubic centimeters

• 750 cubic centimeters

• 150 cubic centimeters

• 900 cubic centimeters

Answer explanation

To find the space inside the box, multiply the dimensions: 15 cm (length) x 10 cm (width) x 5 cm (height) = 750 cubic centimeters. Therefore, the correct answer is 750 cubic centimeters.

Layla is sewing a tablecloth for a dining room table. The table is 9 feet long and 3 feet wide. How much fabric will Layla need for the tablecloth?

• 18 square feet

• 27 square feet

• 36 square feet

• 12 square feet

Answer explanation

To find the area of the tablecloth, multiply the length by the width: 9 feet x 3 feet = 27 square feet. Therefore, Layla needs 27 square feet of fabric for the tablecloth.

The playground at Fair Oaks Elementary is 26 yards long and 58 yards wide. How many yards would I walk if I walked around the whole playground?

• 84 yards

• 168 yards

• 132 yards

• 104 yards

Answer explanation

To find the distance walked around the playground, calculate the perimeter: 2(length + width) = 2(26 + 58) = 2(84) = 168 yards. Thus, the correct answer is 168 yards.

A fish tank is 24 inches long, 12 inches wide, and 10 inches high. How much water will it take to fill the tank completely?

• 2,880 cubic inches (Volume = length × width × height = 24 × 12 × 10)

• 1,440 cubic inches (Volume = length × width × height = 24 × 12 × 5)

• 3,600 cubic inches (Volume = length × width × height = 30 × 12 × 10)

• 2,400 cubic inches (Volume = length × width × height = 24 × 10 × 10)

Answer explanation

To find the volume of the tank, use the formula: Volume = length × width × height. Here, it's 24 × 12 × 10 = 2,880 cubic inches, which is the correct answer.

Mikel is painting a rectangular wall in his bedroom. The wall is 9 feet wide and 10 feet tall. How many square feet of wall will Mikel paint?

• 90 square feet (Area = width × height = 9 × 10)

• 19 square feet (Area = width + height = 9 + 10)

• 45 square feet (Area = width × (height/2) = 9 × 5)

• 100 square feet (Area = width × height, but with wrong values)

Answer explanation

To find the area of the wall Mikel is painting, multiply the width by the height: 9 feet × 10 feet = 90 square feet. Thus, the correct answer is 90 square feet.