SURFACE AREA OF CUBE AND CUBOID WORKSHEET

Problem 1 :

Find the total surface area and lateral surface area of a cuboid whose length is 20 cm, width is 15 cm and height is 8 cm.

Solution

Problem 2 :

The dimensions of a cuboidal box are 6 m x 400 cm x 1.5 m. Find the cost of painting its entire outer surface at the rate of $22 per square meter.

Solution

Problem 3 :

The dimensions of a hall is 10 m x 9 m x 8 m. Find the cost of white washing the walls and ceiling at the rate of $8.50 per square meter. 

Solution

Problem 4 :

The length, width and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in liters.

Solution

Problem 5 :

The outsides of purple traps are coated with glue to catch emerald ash borers. You make your own trap in the shape of a rectangular prism with an open top and bottom. What is the surface area that you need to coat with glue?

Solution

Problem 6 :

Which prism has the greater surface area?

Solution

Problem 7 :

A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)

Solution

Problem 8 :

A label that wraps around a box of golf balls covers 75% of its lateral surface area. What is the value of x?

Solution

Problem 9 :

Write a formula for the surface area of a rectangular prism using the height h, the perimeter P of a base, and the area B of a base.

Solution

Problem 1 :

Find the total surface area and lateral surface area of the cube whose side is

(i) 8 m (ii) 21 cm (iii) 7.5 cm

Solution

Problem 2 :

If the total surface area of a cube is 2400 cm² then, find its lateral surface area.

Solution

Problem 3 :

A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of $24 per m².

Solution

Problem 4 :

Three identical cubes of side 4 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid.

Solution

Problem 5 :

A cubical tank can hold 64,000 liters of water. Find the length of its side in meters.

Solution

Problem 6 :

The side of a metallic cube is 12 cm. It is melted and formed into a cuboid whose length and width are 18 cm and 16 cm respectively. Find the height of the cuboid.

Solution

Problem 7 :

One can of frosting covers about 280 square inches. Is one can of frosting enough to frost the cake? Explain.

Solution

Problem 8 :

Fifty percent of the surface area of the bread is crust. What is the height h?

Solution

Problem 9 :

Compare the dimensions of the prism. How many times greater is the surface area of the red prism than the surface area of the blue prism?

Solution

Problem 10 :

A keychain-sized puzzle cube is made up of small cubes. Each small cube has a surface area of 1.5 square inches.

a. What is the side length of each small cube?

b. What is the surface area of the entire puzzle cube?

Solution

Problem 1 :

Erin is making a jewelry box of wood in the shape of a rectangular prism. The jewelry box will have the dimensions shown below. She plans to spray paint the exterior of the box. How many square inches will she have to paint ?

Solution

Problem 2 :

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 2 inches, and a height of 1 1/2 inches. What is the surface area of the box ?

Solution

Problem 3 :

You are painting the prize pedestals shown (including the bottoms). You need 0.5 pint of paint to paint the red pedestal.

a. The side lengths of the green pedestal are one-half the side lengths of the red pedestal. How much paint do you need to paint the green pedestal?

b. The side lengths of the blue pedestal are triple the side lengths of the green pedestal. How much paint do you need to paint the blue pedestal?

c. Compare the ratio of paint amounts to the ratio of side lengths for the green and red pedestals. Repeat for the green and blue pedestals. What do you notice?

Solution

Problem 4 :

Compare the dimensions of the prisms. How many times greater is the surface area of the red prism than the surface area of the blue prism?

Solution

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