<u>Answer: </u>
The volume of pyramid with dimensions 4cm , 4cm by 12cm is
<u>Solution: </u>
Volume of a pyramid can be found out by using the below formula,
where,
v is the volume of pyramid
l is the length of pyramid
w is the width of pyramid
h is the height of pyramid
from question, given that l = 4 ; w = 4; h = 12
hence the volume of pyramid for the given dimensions is
So the volume of pyramid is
Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>
<h3>Mass of each side of hanger </h3>Assuming the mass of the square is x, the equation for the first side is:
= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)
= ( 3 x 2) + ( 2 x 4) + ( 6 × x)
= 6 + 8 + 6x
Mass of other side:
= (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)
= ( 2 x 2) + ( 5 x 4) + ( 3 × x)
= 4 + 20 + 3x
<h3>Mass of square </h3>As both sides are equal, equate both formulas to find x:
6 + 8 + 6x = 4 + 20 + 3x
6x - 3x = 24 - 14
3x = 10
x = 10/3
x = 3.33 grams
In conclusion, each square is 3.33 grams.
Find out more on problems requiring equating at brainly.com/question/20213883.
