Answer:
D
Step-by-step explanation:
There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:
the volume of the rectangular prism is 100 ft³
Step-by-step explanation:
Given;
area of top face of a rectangular prism, A = 20 ft²
height of the rectangular prism, h = 5 ft
Volume of the rectangular prism = Area of top face x height of the rectangular prism
Volume of the rectangular prism = A x h
Volume of the rectangular prism = 20 ft² x 5 ft
= 100 ft³
Therefore, the volume of the rectangular prism is 100 ft³
Answer:
1080cm²
Step-by-step explanation:
surface area=sum of the area of all the shapes
area of triangle=1/2*base*height
1/2*24*10=120*2(because there are two triangles)=240cm²
10*14=140cm²
24*14=336cm²
Area of slanting figure=26*14=364cm²
add all the results
240+140+336+364=1080cm²
