Answer:
35 square units
Step-by-step explanation:
The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:
- 2 Equilateral Triangles
- 3 Squares
The Area of each triangle is 4 square units. So we need to calculate the area of the squares.
Side length of square = 3 units
Area of square = Length² = 3² = 9
Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares
= 2(4) + 3(9)
= 8 + 27
= 35 square units
Surface Area of Given Solid = 35 square units
Answer:
26 inches
Step-by-step explanation:
We are given;
- An inscribed circle whose area is 407 square inches
- In this case, we need to know that an inscribed in a square touches the four sides of the triangle.
- Therefore, the diameter of the circle is equivalent to the side of the square.
We are given the area as 507 square inches
But;
Area of the circle = pi × r²
Thus we can get the radius of the circle;
Thus;
507 in² = 3 × r²
r² = (507 ÷ 3)
= 169
r =√169
= 13 inches
But, Diameter = 2 r
Thus; Diameter = 2 × 13
= 26 inches
But, in this case, diameter = side of the square
Therefore, the side of the square is 26 inches
It would be a prime number because the answer is 5
Answer:
Yes (True)
Step-by-step explanation:
