Question

Find the surface area of a rectangular prism with dimensions of 6m by 4 m by 15

Answer 1

the surface area of the rectangular prism is 348 square meters.

Explanation:

The surface area of a rectangular prism can be found using the formula:Surface Area = 2lw + 2lh + 2whwhere l, w, and h are the length, width, and height of the prism.In this case, the dimensions of the rectangular prism are:l = 6m

w = 4m

h = 15m

Substituting these values into the formula, we get:

Surface Area = 2(6m)(4m) + 2(6m)(15m) + 2(4m)(15m)

Surface Area = 48m^2 + 180m^2 + 120m^2

Surface Area = 348m^2

Answer 2

Answer: 348 square meters

Explanation:

To find the surface area of a rectangular prism, we need to calculate the area of each of the six faces and add them together. A rectangular prism has three pairs of opposite faces: the length (l) and width (w), the length (l) and height (h), and the width (w) and height (h).

Given dimensions: length (l) = 6m, width (w) = 4m, and height (h) = 15m

Area of the length and width faces (lw): 6m * 4m = 24m²

Since there are two opposite faces, the total area of these faces is 2 * 24m² = 48m².

Area of the length and height faces (lh): 6m * 15m = 90m²

Since there are two opposite faces, the total area of these faces is 2 * 90m² = 180m².

Area of the width and height faces (wh): 4m * 15m = 60m²

Since there are two opposite faces, the total area of these faces is 2 * 60m² = 120m².

Now, add the areas of all the faces together:

Surface area = 48m² (lw faces) + 180m² (lh faces) + 120m² (wh faces) = 348m²

The surface area of the rectangular prism is 348 square meters.