Nets and surface area Knowledge-Based Practice

Questions

1. 1.

   The net of a right circular cone consists of a circular base with a radius of 6 cm and a sector of a circle representing its lateral surface with a radius of 10 cm. What is the total surface area of the cone represented by this net?

   • A) $96\pi\text{ cm}^2$
   • B) $60\pi\text{ cm}^2$
   • C) $136\pi\text{ cm}^2$
   • D) $120\pi\text{ cm}^2$
2. 2.

   The net of a right circular cylinder consists of two congruent circular bases, each with a radius of 5 cm, and a rectangular face representing its curved surface. If the cylinder has a height of 8 cm, what is the total surface area represented by this net?

   • A) $105\pi\text{ cm}^2$
   • B) $130\pi\text{ cm}^2$
   • C) $160\pi\text{ cm}^2$
   • D) $180\pi\text{ cm}^2$
3. 3.

   The net of a right rectangular prism consists of two identical square faces with a side length of 4 cm and four identical rectangular faces measuring 4 cm by 9 cm. What is the total surface area of the solid represented by this net?

   • A) 136 cm²
   • B) 144 cm²
   • C) 160 cm²
   • D) 176 cm²
4. 4.

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

   • A) 230 cm²
   • B) 310 cm²
   • C) 360 cm²
   • D) 620 cm²
5. 5.

   The net of a right triangular prism consists of two congruent right-angled triangles with perpendicular legs measuring 6 cm and 8 cm, connected to three rectangular faces that share a prism height of 12 cm. What is the total surface area represented by this net?

   • A) 336 cm²
   • B) 312 cm²
   • C) 384 cm²
   • D) 288 cm²

Answers and step-by-step solutions appear after you finish the test.