Worksheet: Surface Area of a Rectangular Prism

In this worksheet, we will practice calculating the surface area of a rectangular prism and using this in real life.

Q1:

If the perimeter of the base of a cube is 54.4 cm, find its total surface area.

Q2:

What is the surface area of a cube of side 17 centimetres?

Q3:

Find the surface area of a cube of length 11 centimetres.

Q4:

Find the total surface area of a cuboid with length 13 cm, width 3 cm, and height 3 cm.

Q5:

Find the surface area of the rectangular prism shown.

Q6:

Given that a cube has a surface area of 234 ft2, determine the area of one of its faces.

Q7:

What is the total surface area of a cube whose edge length is 7 cm?

  • A 49 cm2
  • B 196 cm2
  • C 147 cm2
  • D 294 cm2

Q8:

Which multiple of the area of a single face gives the lateral area of a cube?

Q9:

The lateral area of a cube is the product of the base perimeter and which of the following?

  • Athe length
  • Bthe width
  • Cthe volume
  • Dthe height

Q10:

Which of the following expressions represents the surface area of a cube with side length 𝑤 ?

  • A 𝑤 3
  • B 6 𝑤 3
  • C 𝑤 2
  • D 6 𝑤 2
  • E 4 𝑤 2

Q11:

Which of the following multiplied by 6 gives the surface area of a cube?

  • Athe area of a triangle
  • Bthe edge length
  • Cthe perimeter of one face
  • Dthe area of one face

Q12:

The inner dimensions of a swimming pool are 25.5 m, 14.7 m, and 3.5 m. Determine, to the nearest integer, the number of ceramic tiles needed to cover its floor and walls, given that the tiles are square shaped and have a side length of 30 cm.

Q13:

The surface area of a cube is 1,020 cm2. What is the area of one face of the cube?

  • A 340 cm2
  • B 255 cm2
  • C 85 cm2
  • D 170 cm2

Q14:

A rectangular piece of cardboard of length 25 cm and width 14 cm is being made into a box. A square of side length 4 cm is cut out of the cardboard at each corner. The remaining part is folded into an open box. Find the surface area of the open box.

  • A 350 cm2
  • B 102 cm2
  • C 388 cm2
  • D 286 cm2

Q15:

A metallic cube with surface area 726 cm2 is melted and reshaped into a cuboid with base 16 cm by 15 cm. Find the surface area of the cuboid to the nearest hundredth, if needed.

Q16:

What is the difference in surface area between a cube with an edge length of 16 inches and a cube with an edge length of 5 inches?

Q17:

What is the surface area of a cube whose total edge length is 36 cm?

  • A 18 cm2
  • B 36 cm2
  • C 9 cm2
  • D 54 cm2

Q18:

The sides of three cubes are in the ratio 5 6 4 . What is the ratio of their lateral surface areas?

  • A 5 6 4
  • B 1 2 5 2 1 6 6 4
  • C 2 5 3 6 8
  • D 2 5 3 6 1 6

Q19:

Given that the sum of the edge lengths of a cube is 91.2 cm, find its lateral surface area and its surface area.

  • Alateral surface area = 3 6 4 . 8 c m , surface area = 5 4 7 . 2 c m
  • Blateral surface area = 5 1 9 . 8 4 c m , surface area = 7 7 9 . 7 6 c m
  • Clateral surface area = 2 3 1 . 0 4 c m , surface area = 2 8 8 . 8 c m
  • Dlateral surface area = 2 3 1 . 0 4 c m , surface area = 3 4 6 . 5 6 c m
  • Elateral surface area = 6 0 . 8 c m , surface area = 9 1 . 2 c m

Q20:

Find the lateral and total area of the shape below after being folded, and approximate the result to the nearest hundredth.

  • Alateral area = 6 1 5 . 0 4 c m , total area = 1 , 9 0 6 . 6 2 c m
  • Blateral area = 9 2 2 . 5 6 c m , total area = 6 1 5 . 0 4 c m
  • Clateral area = 1 9 8 . 4 c m , total area = 2 9 7 . 6 c m
  • Dlateral area = 6 1 5 . 0 4 c m , total area = 9 2 2 . 5 6 c m

Q21:

Amira wants to wrap a cube-shaped gift box that has a side length of 20 inches. How much paper does she need?

Q22:

Determine the lateral surface area and the surface area of a cube whose edge length is 3.7 cm.

  • Alateral surface area = 5 9 . 2 c m , surface area = 8 8 . 8 c m
  • Blateral surface area = 8 2 . 1 4 c m , surface area = 5 4 . 7 6 c m
  • Clateral surface area = 5 4 . 7 6 c m , surface area = 6 8 . 4 5 c m
  • Dlateral surface area = 5 4 . 7 6 c m , surface area = 8 2 . 1 4 c m
  • Elateral surface area = 2 9 . 6 c m , surface area = 4 4 . 4 c m

Q23:

An open-topped box has the shape of a cube. If its lateral surface area is 82.3 cm2, what is the surface area of its faces, to the nearest hundredth?

Q24:

Work out the surface area of a cube with a side length of 5 inches.

Q25:

Find the surface area of this shape.

Hint: You can draw the net of the shape to help you.

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