Surface Area

Front

What is Surface Area?

Back

Surface Area is the total area that the surface of a three-dimensional object occupies. It is measured in square units.

Front

How do you calculate the surface area of a rectangular prism?

Back

The surface area of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l = length, w = width, and h = height.

Front

What is the formula for the surface area of a triangular prism?

Back

The surface area of a triangular prism is calculated using the formula: SA = bh + (perimeter of base * height), where b = base, h = height of the triangle.

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as cm², m², in², yd², etc.

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm, what is its surface area?

Back

The surface area is 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2(47) = 94 cm².

Front

What is the surface area of a cube with a side length of 6 cm?

Back

The surface area of a cube is calculated using the formula: SA = 6s². For a side length of 6 cm, SA = 6(6²) = 6(36) = 216 cm².

Front

How does the surface area of a cylinder differ from that of a prism?

Back

The surface area of a cylinder is calculated using the formula: SA = 2πr(h + r), where r = radius and h = height. It includes circular bases, unlike prisms.

Front

What is the relationship between surface area and cost in a real-world application?

Back

In real-world applications, such as construction or sewing, the surface area determines the amount of material needed, which directly affects the cost.

Front

If a triangular prism has a base area of 30 in² and a height of 10 in, what is its surface area?

Back

The surface area is calculated as SA = base area + (perimeter of base * height). If the perimeter is 24 in, SA = 30 + (24 * 10) = 30 + 240 = 270 in².

Front

What is the surface area of a sphere?

Back

The surface area of a sphere is calculated using the formula: SA = 4πr², where r = radius.