To solve for the height [tex]\( h \)[/tex] in the given equation:
[tex]\[ 60.96 \text{ sq cm} \times 4 = 3,374.18 \text{ cm} \][/tex]
Let's first understand the components of the equation. The equation implies that:
[tex]\[ \text{base area} \times \text{multiplier} = \text{total area} \][/tex]
Here, the base area is [tex]\( 60.96 \text{ sq cm} \)[/tex], the multiplier is [tex]\( 4 \)[/tex], and the total area is [tex]\( 3,374.18 \text{ cm} \)[/tex].
We can set up the equation as follows to solve for [tex]\( h \)[/tex]:
[tex]\[ 60.96 \times 4 \times h = 3,374.18 \][/tex]
First, calculate the product of the base area and the multiplier:
[tex]\[ 60.96 \times 4 = 243.84 \][/tex]
So the equation now becomes:
[tex]\[ 243.84 \times h = 3,374.18 \][/tex]
Next, solve for [tex]\( h \)[/tex] by dividing both sides of the equation by [tex]\( 243.84 \)[/tex]:
[tex]\[ h = \frac{3,374.18}{243.84} \][/tex]
Now, perform the division:
[tex]\[ h \approx 13.84 \][/tex]
So, the height [tex]\( h \)[/tex] is approximately [tex]\( 13.84 \)[/tex] cm.
