Total Surface Area Challenge: Understanding 3D Shapes

A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 4 cm. What is the total surface area of the box?

• 250 cm²

• 220 cm²

• 180 cm²

• 200 cm²

A cylinder has a radius of 3 cm and a height of 7 cm. Calculate the total surface area of the cylinder, including the top and bottom.

• 150.6 cm²

• 200.0 cm²

• 175.5 cm²

• 188.4 cm²

A triangular prism has a base area of 12 cm² and a height of 10 cm. If the lateral surface area is 60 cm², what is the total surface area of the prism?

• 72 cm²

• 90 cm²

• 84 cm²

• 50 cm²

A cube has a side length of 6 cm. What is the total surface area of the cube?

• 120 cm²

• 180 cm²

• 216 cm²

• 144 cm²

A rectangular prism has dimensions of 8 cm, 3 cm, and 5 cm. If you want to wrap it with gift paper, how much paper do you need?

• 95 cm²

• 158 cm²

• 120 cm²

• 200 cm²

A cone has a radius of 4 cm and a slant height of 5 cm. What is the total surface area of the cone?

• 50.24 cm²

• 78.40 cm²

• 113.04 cm²

• 100.48 cm²

A square pyramid has a base length of 6 cm and a height of 8 cm. Calculate the total surface area of the pyramid.

• 48 cm²

• 36 + 6√73 cm²

• 72 cm²

• 36 + 12√73 cm²

A fish tank is in the shape of a rectangular prism with dimensions 30 cm by 20 cm by 15 cm. What is the total surface area of the tank?

• 2400 cm²

• 2700 cm²

• 3600 cm²

• 1500 cm²

A cylinder has a diameter of 10 cm and a height of 15 cm. What is the total surface area of the cylinder?

• 628 cm²

• 314 cm²

• 785 cm²

• 500 cm²

A box is made from a net that consists of 6 rectangles. If each rectangle has an area of 20 cm², what is the total surface area of the box?

• 120 cm²

• 60 cm²

• 80 cm²

• 100 cm²