Answer:
Step-by-step explanation:
1) The solid is a cube. The formula for determining the volume of a cube is expressed as
Volume = s³
s = 5 cm
Therefore,
Volume = 5³ = 125 cm³
2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as
Volume = lwh
l = 10 inches
w = 5 inches
h = 2 inches
Therefore,
Volume = 10 × 5 × 2 = 100 inches³
3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as
Volume = Area of square base × height
Area of square base = 3² = 9 m²
h = 10 m
Volume = 9 × 10 = 90m³
Answer:
120
Step-by-step explanation: because you add 20 twice and thts 40 and 40 times 3 is 120
Given:
Volume of a sphere is
times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is
times the surface area.


Multiply both sides by 3.



Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:


Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence

Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be 
The next will be; 
The nth term will be 
For each of the successive terms to be less than the previous term;
then
must be a proper fraction;
This implies that:

<em>Where 7 is the denominator</em>
<em>The sets of </em>
<em> is </em>
<em> and their are 6 items in this set</em>
<em>Hence, there are 6 possible integer</em>
Answer:
58
Step-by-step explanation:
The two angles are equal