Answer:
236 in squared
Step-by-step explanation:
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 236 in squared
For the same reasons as the last problem...
s(n)=20(1-(1/2)^n)/(1-1/2)
s(n)=40(1-(1/2)^n)
But this time we are not starting at one so we must subtract the sum of s(2) from the sum of s(12) so:
40((1-(1/2)^12-(1-(1/2)^2)
40(0.249755859375)
≈9.99 (to nearest one-thousandth)
A. Right triangles.
B. Height of 16cm with bases 20cm
C. 320
D.?
Answer:
A. 27 ft. B. 12 ft. C. 28 ft. D. 15 ft. E. 35 ft. F. 75 ft.
Step-by-step explanation:
area of a triangle is equal to A= 1/2 BH (In other words just multiply the two numbers aka base times height then divide by two)
Answer:
168 ft²
Step-by-step explanation:
The area of the two triangular bases is ...
total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²
The lateral area of the prism is the product of the triangle perimeter and the height of the prism.
lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²
The surface area is the sum of the base area and the lateral area:
surface area = base area + lateral area
surface area = 24 ft² +144 ft² = 168 ft²
The surface area of the prism is 168 square feet.