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

I think the answer is 36 for lateral area and 106 as surface area. I made a formula, 2(7 x 1.5 + 1.5 x 5)) and I got 36. Then I made another formula, 36 + 2(7 x 5) and I got 106. Is this right?

I didn't check the math, but the formulas are right. I hope this helps. Thanks for asking.

The "sides" (lateral) dimensions depend upon which side is up. You did not count the larger surface areas at the top and bottom when computing lateral area, and that is probably OK. The total area of the six sides is 2[(7x5) + (1.5x5) =(7x1.5)] = 106 cm^2

Yes, your formulas and answers are correct.

To find the lateral area of a right rectangular prism, you can use the formula: Lateral Area = 2lh + 2wh, where l is the length, w is the width, and h is the height.

Using the given values, the lateral area will be:
Lateral Area = 2(7 x 1.5) + 2(1.5 x 5)
= 2(10.5) + 2(7.5)
= 21 + 15
= 36 cm²

So, the lateral area of the right rectangular prism is indeed 36 cm².

To find the surface area of a right rectangular prism, you can use the formula: Surface Area = 2lw + 2lh + 2wh.

Using the given values, the surface area will be:
Surface Area = 2(7 x 5) + 2(7 x 1.5) + 2(1.5 x 5)
= 2(35) + 2(10.5) + 2(7.5)
= 70 + 21 + 15
= 106 cm²

So, the surface area of the right rectangular prism is indeed 106 cm².

You have correctly calculated both the lateral area and surface area using the appropriate formulas.