Answer: 96 m²
Step-by-step explanation: Surface area is the sum of the areas of all of the faces of a 3-dimensional figure.
So to find the surface area of a cube, it's important to understand that each face of a cube has the same area so we can simply find the area of one face of a cube and multiply by the number of faces which is 6.
To find the area of one face of a cube, we can use the formula for the area of a square which is S².
Since the length of a side is 4 meters, we have (4 m)² or 4 meters x 4 meters which is 16 m².
Now, since there are six sides to a cube, we have 6 (16 m)² which is equal to 96 m². So the surface area of the cube is 96 m².
Answer:
1/8, 1/4, 3/8, 9/16, 3/4, 1
Step-by-step explanation:
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus

Substitute 21 for V; this gives

Divide both sides by h


The next step is to solve for the volume of the sphere using the following formula;

Divide both sides by r

Expand Expression

Substitute 



Multiply both sided by r

------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 

Substitute 2r for h in equation 1



Hence, the volume of the sphere is 14m³
Answer:
area = 693
Step-by-step explanation:
The area of a quadrilateral can be found using the formula; base * height
It is given that the height is 33, the base is 21;
Multiply the two
21 *33 = 693