Surface Area of Pyramids and Cones - Questions - Class Mathematics School Portal

Surface Area of Pyramids and Cones - Questions

Question 1

15008

You have to design a party cap which is in a form of cone with base circumference of 32 cm and slant height 14 cm. Find the amount of paper required to make the cap .

Answer

\(224~\rm{cm}^2\)

Worked Solution

Question 2

15005

For the cone given, find the total surface area (2 decimal places)

Answer

\(656.32~\text{cm}^2\)

Worked Solution

Question 3

15166

Find the surface area of the following pyramid

Answer

\(408~\text{cm}^2\)

Worked Solution

Question 4

15191

The Pyramid of the Moon in Teotihuacan stands \(200~\text{m}\) tall. The sides of its square base are \(250~\text{m}\) in length. Find the surface area of the Pyramid of the Moon excluding the area of the base. Answer to the nearest \(\text{m}^2\)

Answer

\(117925~\text{m}^2\)

Worked Solution

Question 5

15182

Find the surface area of the following pyramid

Answer

\(575.4~\text{cm}^2\)

Worked Solution

Question 6

11812

If \(f(x) = 4x\) and \(g(x) = {3^x}\), then \( g(f(1))=?\)

Answer

Worked Solution

Question 7

11814

Change \({\rm{(}} - 3,2]\,\, \cup \,\,[4,4]\) to inequality interval notation

Answer

\( - 3 < x \le 2,\,\,x = 4\)

Worked Solution

Question 8

11813

From the adjacent network diagram the number of edges is?

Answer

\(6\)

Worked Solution

Question 9

112808

A square base pyramid has a surface area of \(144 \text{ cm}^2\). The side length of the pyramid is \(8 \text{ cm}\). Find the height of the pyramid.

Answer

\(3 \text{ cm}\)

Worked Solution

Question 10

112809

A rectangular based pyramid has the dimensions \(BC=6 \text{ cm}, \,CD=4 \text{ cm},\,AF=5 \text{ cm} \) and \(AG=\sqrt{20} \text{ cm}\). Find the exact surface area of the pyramid.

Answer

\(54+ 8 \sqrt{5} \text{ cm}^2\)

Worked Solution