Surface Area and Volume Rectangular Prism

Front

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

Back

The surface area (SA) 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 volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated using the formula: V = lwh, where l = length, w = width, and h = height.

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

The volume is V = lwh = 4 cm * 3 cm * 2 cm = 24 cm³.

Front

What is the total surface area of a rectangular prism with dimensions 5 cm x 4 cm x 3 cm?

Back

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

Front

How do you find the height of a rectangular prism if you know the volume and the base area?

Back

You can find the height (h) using the formula: h = V / (l * w), where V is the volume and l and w are the length and width of the base.

Front

What is the surface area of a rectangular prism with a length of 10 cm, width of 5 cm, and height of 2 cm?

Back

The surface area is SA = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 cm².

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

If the dimensions are doubled, the volume increases by a factor of 2^3 = 8.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

If a rectangular prism has a surface area of 150 cm² and a height of 5 cm, how can you find the base area?

Back

You can find the base area (A) using the formula: SA = 2A + 2h(l + w). Rearranging gives A = (SA - 2h(l + w)) / 2.

Front

What is the surface area of a cube with a side length of 3 cm?

Back

The surface area of a cube is SA = 6s². For a side length of 3 cm, SA = 6(3)² = 54 cm².