Question

Use a two-dimensional representation of the prism, if necessary, to find the area of the entire surface of the prism.

The surface area of the prism is square units.

Answer 1

2((5)(4) + (5)(3) + (4)(3)) = 2(20 + 15 + 12)

= 2(47) = 94

Answer 2

The total surface area of a rectangular prism with dimensions length (L) = 5, breadth (B) = 4, and height (H) = 3 is 94 square units, calculated using the formula
`\(A_{\text{total}} = 2(LB + BH + HL)\)`.

To find the total surface area of a rectangular prism, you need to calculate the areas of all six faces and then sum them up.

For a rectangular prism with length L, breadth B, and height H, the surface area
`(\(A_{\text{total}}\))` is given by the formula:

`\[ A_{\text{total}} = 2(LB + BH + HL) \]`

Given the values for your rectangular prism (length = 5, breadth = 4, height = 3), plug them into the formula:

`\[ A_{\text{total}} = 2(5 * 4 + 4 * 3 + 3 * 5) \]\[ A_{\text{total}} = 2(20 + 12 + 15) \]\[ A_{\text{total}} = 2 * 47 \]\[ A_{\text{total}} = 94 \]`

Therefore, the total surface area of the prism is 94 square units.