Question

Find the total surface area of these triangular prisms -

1. Height = 6cm, Length = 8cm Width = 4cm Slope = 10cm

2. Height = 18cm, Length = 24cm, Width = 7cm Slope = 30cm

Answer 1

Answer:

1. S = 184cm^2

2. S = 1446 cm^2

Step-by-step explanation:

In order to calculate the surface area you take into account the five faces of a triangular prism. You calculate the area of two rectangle triangle, and three rectangles. This can be summarized in the following formula:

$S=\frac{1}{2}hw+\frac{1}{2}hw+hl+sl+wl\\\\S=hw+(h+s+w)l$

h: height

w: width

s: slope

l: length

1. By replacing you obtain:

$S=(6cm)(4cm)+(6cm+10cm+4cm)(8cm)=184cm^2$

2.

$S=(18cm)(7cm)+(18cm+30cm+7cm)(24cm)=1446cm^2$