1. c
2. a
3. d
4. c
5. b
6. a
7. a
8. c
9. d
10. c
11. a
12. b
13. d
14. d
Explanation:
1. c
2. a
3. d
4. c
5. b
6. a
7. a
8. c
9. d
10. c
11. a
12. b
13. d
14. d
Explanation:
Step-by-step explanation:
First we have to split the net into 4 triangles and 1 rectangle
Given a = 12 cm ,b = 6 cm and d = 13 cm
To find the surface area of the rectangular pyramid:Now find the area of the rectangle base
= 72 sq. cm
∴ Rectangle base area=72 sq cmNow to find the area of the triangle on the left
= 39 sq cm
∴ Left triangle=39 sq cmSince all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.
Area of left and right triangles= 2(39)
=78 sq cm
∴ Area of left and right triangles=78 sq cmFind the area of the triangle on the bottom
= 72 sq cm
∴ Bottom triangle area=72 sq cmSince the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top
Area of top & bottom triangles=2 (72)
= 144 sq cm
∴ Area of top & bottom triangles= 144 sq cmFinally add the area of the 4 triangles to the area of the rectangular base we get
=72 + 78 + 144
= 294 sq cm
∴ the surface area of the rectangular pyramid is 294 sq cm∴ option D) 294 sq cm is correct.the answer is D: 294 sq. cm
Step-by-step explanation:
first you want to split the net into 4 triangles and 1 rectangle
a = 12 cm
b = 6 cm
d = 13 cm
calculate the surface area of the pyramid...
1st find the area of the rectangle base
Rectangle base area
b x a = (6 cm) (12 cm)
= 72 sq. cm
next find the area of the triangle on the left
Left triangle
1/2(b)(d) = 1/2 (6 cm)(13 cm)
= 1/2 (78 sq cm)
= 39 sq. cm
Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.
Area of left & right triangles
= 2 (39 sq. cm)
= 78 sq. cm
Find the area of the triangle on the bottom
Bottom triangle area = 1/2 (a)(a)
= 1/2 (12 cm) (12 cm)
= 1/2 (144 sq. cm)
= 72 sq. cm
Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top
Area of top & bottom triangles
2 (72 sq. cm) = 144 sq. cm
Finally...add the area of the 4 triangles to the area of the rectangular base
72 + 78 + 144 = 294 sq. cm
Step-by-step explanation:
First we have to split the net into 4 triangles and 1 rectangle
Given a = 12 cm ,b = 6 cm and d = 13 cm
To find the surface area of the rectangular pyramid:Now find the area of the rectangle base
= 72 sq. cm
∴ Rectangle base area=72 sq cmNow to find the area of the triangle on the left
= 39 sq cm
∴ Left triangle=39 sq cmSince all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.
Area of left and right triangles= 2(39)
=78 sq cm
∴ Area of left and right triangles=78 sq cmFind the area of the triangle on the bottom
= 72 sq cm
∴ Bottom triangle area=72 sq cmSince the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top
Area of top & bottom triangles=2 (72)
= 144 sq cm
∴ Area of top & bottom triangles= 144 sq cmFinally add the area of the 4 triangles to the area of the rectangular base we get
=72 + 78 + 144
= 294 sq cm
∴ the surface area of the rectangular pyramid is 294 sq cm∴ option D) 294 sq cm is correct.the answer is D: 294 sq. cm
Step-by-step explanation:
first you want to split the net into 4 triangles and 1 rectangle
a = 12 cm
b = 6 cm
d = 13 cm
calculate the surface area of the pyramid...
1st find the area of the rectangle base
Rectangle base area
b x a = (6 cm) (12 cm)
= 72 sq. cm
next find the area of the triangle on the left
Left triangle
1/2(b)(d) = 1/2 (6 cm)(13 cm)
= 1/2 (78 sq cm)
= 39 sq. cm
Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.
Area of left & right triangles
= 2 (39 sq. cm)
= 78 sq. cm
Find the area of the triangle on the bottom
Bottom triangle area = 1/2 (a)(a)
= 1/2 (12 cm) (12 cm)
= 1/2 (144 sq. cm)
= 72 sq. cm
Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top
Area of top & bottom triangles
2 (72 sq. cm) = 144 sq. cm
Finally...add the area of the 4 triangles to the area of the rectangular base
72 + 78 + 144 = 294 sq. cm
SI=(P*R*T)/100
P=2000
R=1.5
T=6
SI=(2000*1.5*6)/100
=(2000*9)/100
=180
Neil will earn interest of 180
Cost of 7 gallons=$24.50
Cost of 1 gallon=24.50/7=3.5
Cost of 15 gallons=15*3.5=52.5
Cost of 15 gallons will be $52.5
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