# Lesson Worksheet: Surface Areas of Rectangular Prism and Cubes Mathematics • 6th Grade

In this worksheet, we will practice calculating surface areas of rectangular prisms and cubes and using this to solve real-life problems.

**Q7: **

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

**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 volume
- Bthe length
- Cthe height
- Dthe width

**Q10: **

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

- A
- B
- C
- D
- E

**Q11: **

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

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

**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.

**Q15: **

A metallic cube with surface area 726 cm^{2} is
melted and reshaped into a rectangular prism with base 16 cm by
15 cm. Find the surface area of the rectangular prism to the
nearest hundredth, if needed.

**Q17: **

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

**Q18: **

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 , surface area
- Blateral surface area , surface area
- Clateral surface area , surface area
- Dlateral surface area , surface area
- Elateral surface area , surface area

**Q19: **

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

- Alateral area, total area
- Blateral area, total area
- Clateral area, total area
- Dlateral area, total area

**Q20: **

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

**Q21: **

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

- Alateral surface area , surface area
- Blateral surface area , surface area
- Clateral surface area , surface area
- Dlateral surface area , surface area
- Elateral surface area , surface area

**Q22: **

An open-topped box has the shape of a cube. If its lateral surface area is 82.3 cm^{2},
what is the surface area of its faces, to the nearest hundredth?

**Q23: **

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

**Q24: **

Find the surface area of this shape.

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

**Q25: **

Work out the surface area of the rectangular prism shown.