Perimeter of Geometric Figures
three-Dimensional Figures and Volume of Prisms
Surface Area of Three-Dimensional Figures
100

Clara's parents said they would pay him 25 cents per foot to paint the fence that surrounds the horse corral on their farm. If the corral is a rectangle with a length of 60 feet and a width of 80 feet, how much will Clara earn to paint the fence? use the formula P = 2l + 2w 

Clara will earn $70.00 for painting the fence.

100

Grady eats his favorite dry cereal for breakfast every morning. The cereal box is 7/7 inches long, 2 wide, and 10 inches high. What 8/2 volume of cereal can the box hold? (V = lwh)

The cereal box has a volume of 206 23 cubic inches. 32

100

Calculate the total surface area to see how much material is needed. 

Mia is wrapping a gift box in the shape of a rectangular prism. The box is 8 in long, 5 in wide, and 3 in high. How much wrapping paper does Mia need to cover the entire box?



Mia needs 158 square inches of wrapping paper.

200

find the perimeter of a triangle when the sides are 

3.2 m

4.9 m

5.1 m

use this formula P = a+ b + c

3.2 m + 4.9 m + 5.1 m = 13.2 m

200

Find the volume of a shoe box that measures 14 5/8" in length, 7 5/8" in width, and 5" in height.

V = 557 37/64 in^3

200

A horizontal cylinder is used to store diesel fuel. The cylinder is 9 feet in length. Each base of the cylinder has a radius of 2.5 feet.

What is the total surface area of the diesel tank?

C = 3.14(5) = 15.7
A of circle = 3.14(2.52) = 19.625
A rectangle = 15.7 x 9 = 141.3
SA = 141.3 + 19.625 + 19.625 = 180.55 ft2

300

A giant flag cake measuring 90 feet by 60 feet was on display in Philadelphia for Flag Day. What is the perimeter of the cake? P= 21 + 2w

300ft

300

Find the area of the base (triangle)

B= 1/2 bh  

6 is he height and 5 is the base 8 is on the other side then use the volume formula to get your answers

120 ft^2

300

Dale wants to build a wooden box that measures 1.5 meters by 1 meter by 1.75 meters.

Part 1: Dale plans to paint all six sides of the outside of the wooden box after he builds it. What is the outside surface area of the box?

Part 2: One can of paint will cover 5 square meters. How many cans of paint will Dale need to buy to paint the outside of his wooden box?

PART 1 - 11.75 m2

PART 2 - 3 cans of paint

400

You are building a custom-shaped raised garden bed in your backyard. The garden bed is shaped like a trapezoid. If the two parallel sides (the bases) measure 12 ft and 18 ft, and the two non-parallel sides measure 8 ft and 10 ft, how many feet of wooden border fencing do you need to enclose the entire garden bed? 

P=a+b+c+d

You will need 48 feet of wooden fencing to enclose the garden bed.




400

A local bakery is building a new modular cake display case that is shaped like a right rectangular prism. 

If the base of the display case measures 4 feet long by 2.5 feet wide, and the case has a height of 3 feet, what is the maximum volume of cakes the display case can hold?

The display case can hold a maximum volume of 30 ft³ of cakes.

400

Find the surface area of a can of cat food with a diameter of 8.6 centimeters and a height of 4.4 centimeters. C = πd. The area of the rectangle will be the circumference of the base times the height of the can

The surface area of the can is 235 square centimeters (or 235 cm2).

500

A square sandbox has a side length of 8.5 ft. Calculate how much wooden framing is needed to border its entire outside edge.

P= 4 x S

You will need 34 feet of wooden framing.

500

Find the volume of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 10 cm

The volume of the rectangular prism is 150 cubic centimeters (cm³).

500

Rhoda is trying to wrap a present she bought Becky for her birthday. How much gift wrap will she need? The box Rhoda is planning to wrap is a rectangular prism that has a length of 10 inches, a width of 2 inches, and a height of 6 inches. The amount of wrapping paper she needs is equal to the surface area of the box.

SA = 2(lw+ lh + wh)

The surface area of the box Rhoda wishes to wrap is 184 square inches (or 184 in.2).