What is the total area of a rectangular prism with a height of 10 feet, a width of 6 feet, and a thickness of 4 feet?

248 sq feet

Step-by-step explanation:

To calculate the total surface area of a prism, you have to understand it's like a 3-D rectangular cube ... think like piece of Lego.

You then have to calculate the area of each of the 6 faces and sum them up to get the total.

If your prism has 10 feet high, 6 feet wide and a depth of 4 feet, that means it has the following sides:

2 - 10 x 6 for the front and back

2 - 10 x 4 for the lateral sides

2 - 4 x 6 for the top and bottom.

So, you just have to find the area of each side ... which is easy ... you know how to calculate the area of a rectangle: base * height. So,

10x6 sides have an area of 60

10 x 4 sides have an area of 40

4 x 6 sides have an area of 24

Total = 2 (60) + 2 (40) + 2 (24) = 120 + 80 + 48 = 248 sq feet of area for its surfaces.

The area of rectangular prism = 248 square feet

Step-by-step explanation:

It is given that, a rectangular prism with a height of 10 feet, a width of 6 feet, and a thickness of 4 feet.

Formula:-

Area of cuboid = 2 (lb + lh + bh)

Where l - Length, b - Breadth and h - Height

To find the area of prism

A prism is like a cuboid

Here l = 6 feet, b = 4 feet and h = 10 feet

Area = 2 (lb + lh + bh)

= 2 (6*4 + 6*10 + 4*10)

= 2 (24 + 60 + 40) = 248 square feet

Therefore the area of rectangular prism = 248 square feet