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6:06
Photo
Solving Problems Involvir
petermine the value of
x for each figure.
1 surface area
=152cm^(2)

HiB 6x

th li 6x ×

pi//B2× x

$6$ : $06$ $\newline$ Photo $\newline$ Solving Problems Involvir $\newline$ petermine the value of $x$ for each figure. $\newline$ $1$ surface area $=152 \mathrm{~cm}^{2}$ $\newline$ $\operatorname{HiB} 6 x$ $\newline$ $\operatorname{th} \operatorname{li} 6 x \times$ $\newline$ $\pi / B 2 \times x$

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Greatest possible error

Full solution

Q.

6

:

06

\newline

Photo

\newline

Solving Problems Involvir

\newline

petermine the value of

x

for each figure.

\newline

1

surface area

=152 \mathrm{~cm}^{2}

\newline

\operatorname{HiB} 6 x

\newline

\operatorname{th} \operatorname{li} 6 x \times

\newline

\pi / B 2 \times x

Surface Area Formula: The surface area of a cube is calculated by the formula $6 \times \text{side}^2$ . We know the surface area is $152 \, \text{cm}^2$ .
Setting up Equation: Let's set up the equation: $6 \times (6x)^2 = 152$ .
Simplify Equation: First, simplify the equation: $6 \times 36x^2 = 152$ .
Isolate $x^2$ Term: Now, divide both sides by $6$ to isolate the $x^2$ term: $36x^2 = \frac{152}{6}$ .
Calculate Right Side: Calculate the right side: $36x^2 = 25.3333\ldots$
Solve for $x^2$ : Next, divide both sides by $36$ to solve for $x^2$ : $x^2 = \frac{25.3333\ldots}{36}.$
Calculate Right Side: Calculate the right side: $x^2 = 0.7037\ldots$
Solve for x: Finally, take the square root of both sides to solve for x: $x = \sqrt{0.7037}$ ...

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