# Prism

Calculate the surface area and volume of a prism with a body height h = 10 cm and its base has shape of a rhomboid with sides a = 5.8 cm, b = 3 cm and the distance of its two longer sides is w = 2.4 cm.

Correct result:

S =  203.84 cm2
V =  139.2 cm3

#### Solution:

$v=10 \ \\ a=5.8 \ \\ b=3 \ \\ w=2.4 \ \\ o=2 \cdot \ (a+b)=2 \cdot \ (5.8+3)=\dfrac{ 88 }{ 5 }=17.6 \ \\ S_{1}=a \cdot \ w=5.8 \cdot \ 2.4=\dfrac{ 348 }{ 25 }=13.92 \ \\ S=2 \cdot \ S_{1} + o \cdot \ v=2 \cdot \ 13.92 + 17.6 \cdot \ 10=\dfrac{ 5096 }{ 25 }=203.84 \ \text{cm}^2$
$V=S_{1} \cdot \ v=13.92 \cdot \ 10=\dfrac{ 696 }{ 5 }=139.2 \ \text{cm}^3$

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