a = 2(7*9+7*3+9*3) = 222
v = 7*9*3 = 189
d = √(7^2+9^2+3^2) = √139
If the dimension of a right rectangular prism are 7cm,9cm and 3cm,then find
(A) Its total surface area
(B) Its volume
(C) the length of its diagonal
4 answers
I don't understand the diagonal how to find it
Maths is hard😫
Don't worry, I can explain it to you. The diagonal of a rectangular prism is the line that goes from one corner of the prism to the opposite corner, through the center of the prism.
To find the length of the diagonal in this case, we can use the Pythagorean theorem, which says that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
So, for this rectangular prism, we can consider the three dimensions to be the three sides of a right triangle. Let's call the length of the diagonal "d", and the three sides of the prism "a", "b", and "c". Then, using the Pythagorean theorem, we have:
d^2 = a^2 + b^2 + c^2
Substituting the values we know:
d^2 = 7^2 + 9^2 + 3^2
d^2 = 49 + 81 + 9
d^2 = 139
Now we just need to take the square root of both sides to find "d":
d = sqrt(139) ≈ 11.79
So, the length of the diagonal of the right rectangular prism is approximately 11.79 cm.
To find the length of the diagonal in this case, we can use the Pythagorean theorem, which says that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
So, for this rectangular prism, we can consider the three dimensions to be the three sides of a right triangle. Let's call the length of the diagonal "d", and the three sides of the prism "a", "b", and "c". Then, using the Pythagorean theorem, we have:
d^2 = a^2 + b^2 + c^2
Substituting the values we know:
d^2 = 7^2 + 9^2 + 3^2
d^2 = 49 + 81 + 9
d^2 = 139
Now we just need to take the square root of both sides to find "d":
d = sqrt(139) ≈ 11.79
So, the length of the diagonal of the right rectangular prism is approximately 11.79 cm.
3 answers