Answer: The volume inside is 27 cu. ft.
Step-by-step explanation:
The surface area of a cube is the area of each face of the cube added together. There are 6 faces on a cube; 54/6 = 9 sq. ft. for each face of the cube.
Each face of a cube is a square, whose area is given by A=s²:
9 = s²
Take the square root of both sides:
√9 = √s²
3 = s
Each side of the square, or edge of the cube, is 3 ft.
This makes the volume 3(3)(3) = 27 cu. ft.
Answer:
a) 4
b) 
Step-by-step explanation:
<u>PART A</u>
Simplify the expression by solving out the square roots.
= 
You can cancel out the
on the top and bottom.
So, a should be 4.
<u>PART B</u>
Solve out the square root. The square root is pretty much the 1/2 power, so you can divide the exponents by half.
= 
You can subtract exponents to divide them. So the y variable becomes
, or
.
Then, the overall expression is
, or you can turn that into
.
Answer:
Kasi
Step-by-step explanation:
kasi mapiti itlog ko
The base of the prism is a 3:4:5 right triangle.
One of the legs is its base and the other is its height. (The longest side is the hypotenuse!)
The area of the triangular base is bh/2 = (9)(12) / 2. There are two of these.
There are also three rectangular sides on the prism.
Their dimensions are 9 by 20, 12 by 20, and 15 by 20.
You can do the arithmetic from here.
And the answer is 828cm ^2