A right prism is shown below.

Mathematics

2 answers:

insens350 [35]2 years ago

7 0

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

Lubov Fominskaja [6]2 years ago

6 0

<h2><em>Answer:</em></h2>

$\fbox{Surface \: area \: of \: prism = 520 \: sq.in.}$

<h3><em>Step by step explanation:</em></h3>

<em>Given:</em>

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

<em>To find:</em>

Surface area of prism = ?

<em>Solution:</em>

$\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}$ \\ $\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}$

$\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in}$

$\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered}$