Answer:
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.
Answer:
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
