Find the lateral and surface area of the right rectangluar prism whose length is 7 cm, width is 5 cm and height is 1.5 cm.

I did 2(7 x 1.5+ 1.5 x 5) and I got 36 as my lateral area. Then I add 36+ 2(7 x5) and I got 106 as my surface area. Is this right?

hello, no one din't answer my reply.

ask your intuition if this is right

To find the lateral area of a right rectangular prism, you need to calculate the sum of the areas of the four lateral faces. Each lateral face is a rectangle with dimensions equal to the height of the prism multiplied by the length or width of the base.

In this case, the height of the prism is 1.5 cm, and the dimensions of the base are 7 cm (length) and 5 cm (width).

The formula for the lateral area is given by:
Lateral Area = 2(height × length) + 2(height × width)

Substituting the given values:
Lateral Area = 2(1.5 × 7) + 2(1.5 × 5)
= 2(10.5) + 2(7.5)
= 21 + 15
= 36 cm²

So, your calculation for the lateral area of 36 cm² is correct.

To find the surface area of the prism, you need to add the areas of all six faces. The formula for the surface area is given by:
Surface Area = 2(length × width) + 2(length × height) + 2(width × height)

Substituting the given values:
Surface Area = 2(7 × 5) + 2(7 × 1.5) + 2(5 × 1.5)
= 2(35) + 2(10.5) + 2(7.5)
= 70 + 21 + 15
= 106 cm²

So, your calculation for the surface area of 106 cm² is also correct.