Understanding Surface Area of Square Pyramids

What is the total number of surfaces on a square pyramid?

• 6

• 5

• 4

• 3

Which part of the square pyramid is represented by 'B' in the surface area formula?

• The height

• The lateral surface area

• The base area

• The slant height

How do you calculate the area of the base of a square pyramid?

• One-half times base times height

• Perimeter times slant height

• Length times width

• Base times height

In the example with a base width of 10 and slant height of 8, what is the total surface area?

• 260 units squared

• 100 units squared

• 160 units squared

• 360 units squared

When given the height instead of the slant height, which theorem is used to find the slant height?

• Pythagorean theorem

• Triangle inequality theorem

• Cosine rule

• Sine rule

In the example with a base length of 16 and height of 6, what is the calculated slant height?

• 8

• 10

• 14

• 12

What is the surface area of a square pyramid with a base length of 16 and slant height of 10?

• 640 units squared

• 576 units squared

• 320 units squared

• 256 units squared

If given the diagonal of the base, what is the first step to find the side length of the square base?

• Add square root of 2

• Multiply by square root of 2

• Divide by square root of 2

• Subtract square root of 2

In the example with a diagonal of 10, what is the side length of the square base?

• 10√2

• 10

• 5√2

• 5

What is the final surface area of the square pyramid with a diagonal of 10 and slant height of 5?

• 50 units squared

• 50 + 50√2 units squared

• 100 units squared

• 100 + 50√2 units squared