Question

Please answer this math question ASAP!! Brainliest and 30 points!!!!

Answer 1

Answer:

option b

6cm

Step-by-step explanation:

you can check solution in image

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

★ Given :

T.S.A of cuboid (Rectangular Prism) = 500 cm².

Height of prism (H) = 5 cm

Length of prism (L) = 20 cm

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★ To Find :

We have to find the breadth (B) of the rectangular prism.

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★ Solution :

We know the formula to calculate the T.S.A of cuboid.

$\large{\star{\boxed{\sf{T.S.A = 2(LB + BH + LH)}}}}$

_____________[Put Values]

$\sf{→ 500 = 2\bigg(20(B) + 5(B) + 5(20)\bigg)} \\ \\ \sf{→\frac{\cancel{500}}{\cancel{2}} = 20B + 5B + 100} \\ \\ \sf{→250 = 100 + 25B} \\ \\ \sf{→25B = 250 - 100} \\ \\ \sf{→25B = 150} \\ \\ \sf{→B = \frac{\cancel{150}}{\cancel{25}}} \\ \\ \sf{→B = 6} \\ \\ \Large{\implies{\boxed{\boxed{\sf{B = 6 \: cm}}}}}$

$\therefore$ Breadth of rectangular prism is 6 cm.