Answer:
Total surface area of cube = 294 cm²
Step-by-step explanation:
Given:
Perimeter of cube = 84 cm
Find:
Total surface area of cube
Computation:
Perimeter of cube = 12 x side
84 = 12 x side
Side = 7 cm
Total surface area of cube = 6(a)²
Total surface area of cube = 6(7)²
Total surface area of cube = 294 cm²
Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72
Given the equation 
Check all options:
A.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is false.
B.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is false.
C.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is false.
D.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is true.
Answer: correct choice is D.
Answer:
<h3>Total 20 boxes are there. </h3>
Step-by-step explanation:
Total number of shelves in a warehouse = 5 shelves.
Each shelve either can hold maximum 8 boxes with their lengths or can hold 4 boxes with their heights.
So, in that case only 4 boxes could be hold in each of 5 shelves because only 4 boxes could be fit with their heights.
Therefore, total number of boxes = 5 × 4 = 20 boxes .
<h3>Therefore, total 20 boxes are there. </h3>
Answer:
380 if rounded to the nearest whole number
Step-by-step explanation: