TEKS 5.4H Represent and solve problem related to perimeter and/or area and related to volume

Activity

Online Practice Practice calculating area and perimeter on the website: http://www.bgfl.org/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.h tml

Small Group Practice

Area, Perimeter, and Volume War

Cut the cards apart and place face down. The first player will select a card and all players solve the problem. Continue until all players have had a chance to draw a card. Compare the value all answers. The player who drew the card with the largest answer wins the round.

Extra Practice

Think It Through!

Area, Perimeter, & Volume War

The larger cube is 6 inches tall.

The smaller cube is 4 inches tall. This tank is 20 inches high, 10

What is the difference in the inches wide, and 12 inches long.

volume of the two cubes? What is the volume of the tank?

1 2

The equilateral triangle has a

side length of 9 cm. What is the

perimeter of the triangle?

The length of the cake is 12

inches. The cake is half as wide as

it is long. What is the perimeter of

the cake?

3 4

The perimeter of the isosceles The rectangle has a length of 6.7 cm

triangle is 24 cm. Find the length and a width of 4 cm. What is the

of the missing side. area of the rectangle?

10 cm

5 6

Area, Perimeter, & Volume War

p. 2

7.5 ft.

15 ft.

The cube has a side that 7.5 ft.

measures 5 inches. What is the

volume of the cube?

What is the volume of the truck?

7 8

What is the volume of the

rectangular prism?

Kennedy drew a square that is

composed of 4 congruent squares.

The side length of one small square

measures 2.5 cm. What is the

perimeter of the big square?

9 10

Jahzel is making a rectangular Find the area of the square.

prism. She plans to make four

more layers on top of the base

shown. What will be the volume

of her prism when she is done?

11 12

Area, Perimeter, & Volume War

p. 3

What is the perimeter of this figure? What is the area of this figure?

13 14

What is the perimeter of this figure? What is the area of this figure?

15 16

Morgan is making a cube. The base Find the perimeter of the square. of her cube is shown below. What

will be the volume of the cube?

17 18

Answer Key

1 152 cubic inches 10 64 cubic units

2 2,400 cubic inches 11 192 cubic units

3 36 inches 12 56.25 square feet

4 27 cm 13 22 meters

5 4 cm 14 10 square meters

6 26.8 square cm 15 32 inches

7 125 cubic inches 16 43 square inches

8 843.75 cubic feet 17 17.576 cubic meters

9 20 cm 18 30 feet

Name________________________________________ Date___________________________

Think It Through!

1. The diagram of the square represents the base of a cube. Use the clues to find the perimeter

and area of the base of the cube. Then find the volume.

• The large square is made up of 9 congruent small squares. Draw the small squares.

• Each small square has an area of 49 square feet.

Perimeter of the large square: _______________

Area of the large square:____________________

Volume of the large square: _________________

2. Daniel has a square sandbox that is 1.5 feet deep. The diagram below represents Daniel’s

rectangular backyard and sandbox.

----

-- 3

0 fe

et -

----

The area of the backyard that is not shaded equals 1,041 square feet. What is the perimeter

and volume of Daniel’s sandbox?

--------------------- 35 feet ------------------------

Perimeter of the sandbox: _______________

Area of the sandbox:____________________

Volume of the sandbox: _________________

Answer Key

3. The diagram of the square represents the base of a cube. Use the clues to find the perimeter

and area of the base of the cube. Then find the volume.

• The large square is made up of 9 congruent small squares. Draw the small squares.

• Each small square has an area of 49 square feet.

Perimeter of the large square: 21 x 4 = 84 feet

Area of the large square: 21 x 21 = 441 square feet

Volume of the large square: 21 x 21 x 21 = 9,261 cubic feet

4. Daniel has a square sandbox that is 1.5 feet deep. The diagram below represents Daniel’s

rectangular backyard and sandbox.

----

-- 3

0 fe

et -

----

The area of the backyard that is not shaded equals 1,041 square feet. What is the perimeter

and volume of Daniel’s sandbox?

--------------------- 35 feet ------------------------

Perimeter of the sandbox: 3 x 4 = 12 feet

Area of the sandbox: 3 x 3 = 9 square feet

Volume of the sandbox: 3 x 3 x 1.5 = 13.5

cubic feet