Nets and surface area Knowledge-Based Download PDF

Questions

1. 1.

   The net of a right trapezoidal prism consists of two congruent isosceles trapezoid bases and four rectangular faces. Each trapezoid base has parallel sides of lengths 4 cm and 10 cm, non-parallel legs of length 5 cm, and a perpendicular height of 4 cm. If the height of the prism is 8 cm, what is the total surface area of the prism?

   • A) $220\text{ cm}^2$
   • B) $248\text{ cm}^2$
   • C) $262\text{ cm}^2$
   • D) $276\text{ cm}^2$
2. 2.

   The net of a closed cylinder consists of two congruent circular bases, each with a radius of $3\text{ cm}$, and a rectangular lateral face with a height of $8\text{ cm}$. What is the total surface area of the cylinder, in square centimeters, in terms of $\pi$?

   • A) $66\pi\text{ cm}^2$
   • B) $57\pi\text{ cm}^2$
   • C) $48\pi\text{ cm}^2$
   • D) $33\pi\text{ cm}^2$
3. 3.

   The net of an open-top rectangular box consists of a central rectangular base measuring 8 centimeters by 5 centimeters and four rectangular flaps extending outward from its edges, each with a height of 3 centimeters. What is the total surface area of the box formed by this net?

   • A) 118 square centimeters
   • B) 158 square centimeters
   • C) 120 square centimeters
   • D) 78 square centimeters
4. 4.

   The net of a right triangular prism consists of two congruent right-angled triangles with perpendicular legs measuring 6 cm and 8 cm, along with three rectangular faces that wrap around the prism. If the height of the prism is 12 cm, what is the total surface area of the prism?

   • A) 288 cm²
   • B) 312 cm²
   • C) 324 cm²
   • D) 336 cm²
5. 5.

   The net of a right square pyramid consists of a square base with a side length of 10 cm and four congruent isosceles triangles, each with a base of 10 cm and a height of 13 cm. What is the total surface area of the pyramid?

   • A) 230 cm²
   • B) 260 cm²
   • C) 360 cm²
   • D) 620 cm²