Sage-Tips

What is a shorter way to find the surface area of a rectangular prism?

One edge of the rectangle is labeled length and the other is labeled width. To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw. Going back to our example, the area of the bottom face is 4 inches x 3 inches = 12 square inches.

Did you find any shortcuts you could use to find the surface area of the rectangular prism?

A Short Cut Both short faces are the same, so their total area is 2wh. To find the surface area of the entire prism, add those calculations: 2lw + 2lh + 2wh. For example, if a rectangular prism is 4 feet long, 2 feet wide and 1 foot high, the surface area is 2(4 x 2) + 2(4 x 1) + 2(2 x 1) = 16 + 8 + 4 = 28 square feet.

What are two ways that you can find the surface area of a prism?

Surface area means the entire area that all the sides of a prism take up. The surface area can be calculated in one of two ways. One way involves using an equation for lateral area. The other method involves taking the area of all the sides and summing the areas.

How do you find the surface area of a rectangular prism and cube?

In general, the surface area of a polyhedron is the sum of the areas of all of the faces. For a rectangular prism, with base b, width w, and length l, the formula for surface area is 2(l⋅w)+2(l⋅h)+2(h⋅w).

How do you find the total surface area of a rectangular solid?

In general, to find the surface area of a rectangular solid, remember that each face is a rectangle, so its area is the product of its length and its width (see the image below). Find the area of each face that you see and then multiply each area by two to account for the face on the opposite side.

How do you find the surface area of a house shape?

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

How do you find the surface area of the prism?

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where “S” is the surface area of the prism.