Adding all of the areas together:
5 x 6 = 30
4 x 6 = 24
3 x 6 = 18
4^2 + 3^2 = 16 + 9 = 25(square root) = 5
" " = 5
30 + 24 + 18 + 5 + 5 = 82 ft^2
Answer:
28 units²
Step-by-step explanation:
Assume that your net has the dimensions shown below.
Its area is
2 yellow rectangles = 2(4 × 2) = 2 × 8 = 16 units²
2 grey rectangles = 2(4 × 1) = 2 × 4 = 8 units²
2 green rectangles = 2(2 × 1) = 2 × 2 = <u> 4 units²</u>
TOTAL = 28 units²
The prism's surface area is 28 units².
Answer:
All 3 are right triangles.
Step-by-step explanation:
In a right triangle c^2 = a^2 + b^2 where c is the longest side. ( by Pythagoras).
a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27
36 = 9 + 27
So this is a right triangle.
b)
17^2 = 289, 15^2 = 225 and 8^2 = 64
289 = 225 + 64
Also right triangle.
c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25
So also right triangle.
See the attached picture for the answers.