Question

Will give brainiest answer

Answer 1

Answer:

144 units²

Step-by-step explanation:

We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.

→ Area of triangle =  0.5 × Base × Height

→ Area of rectangle = Length × Width

First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's

Area of triangle =  0.5 × Base × Height

→ Substitute in the values

Area of triangle =  0.5 × 4 × 3

→ Simplify

Area of triangle =  6

Then double this value to find the combined value of the 2 triangle's

6 × 2 = 12

Now the area of the large rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 5

→ Simplify

Area of rectangle =  55

Now the area of the medium rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 4

→ Simplify

Area of rectangle =  44

Now the area of the small rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 3

→ Simplify

Area of rectangle =  33

Now we add all the area's together,

33 + 44 + 55 + 12 = 144

Answer 2

Answer:

144 cm²

Step-by-step explanation:

for the triangle sides: 3 x 4 = 12 ((3 x 4/2)x 2)

for the front: 5 x 11 = 55

for the back: 3 x 11 = 33

for the base: 4 x 11 = 44

12 + 55 + 33 + 44 = 144