MATH SOLVE

5 months ago

Q:
# Please help thank you.Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?And PLEASE explain.

Accepted Solution

A:

Hello!

You can separate the shape into two rectangular prisms

prism 1 - 9, 2 ,4

prism 2 - 4, 2, 8

Since the frosting is on the outside of the cake you have to find the surface area

To find the surface area you use the equation

2(wl + hl + hw)

Put in the values you know

2(9 * 2 + 4 * 2 + 9 * 4)

multiply

2(18 + 8 + 36)

Add

2(62) = 124

Now you find the surface area of the second prism

2(4 * 2 + 2 * 8 + 4 * 8)

Multiply

2( 8 + 16 + 32)

Add

2(56) = 112

Now add the two surface areas to get the surface area of the whole shape

112 + 124 = 236

The answer is 236in squared

Hope this helps!

You can separate the shape into two rectangular prisms

prism 1 - 9, 2 ,4

prism 2 - 4, 2, 8

Since the frosting is on the outside of the cake you have to find the surface area

To find the surface area you use the equation

2(wl + hl + hw)

Put in the values you know

2(9 * 2 + 4 * 2 + 9 * 4)

multiply

2(18 + 8 + 36)

Add

2(62) = 124

Now you find the surface area of the second prism

2(4 * 2 + 2 * 8 + 4 * 8)

Multiply

2( 8 + 16 + 32)

Add

2(56) = 112

Now add the two surface areas to get the surface area of the whole shape

112 + 124 = 236

The answer is 236in squared

Hope this helps!