Answer:
- small prism: 630 m²
- large prism: 2520 m²
Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
- small prism: 630 m²
- large prism: 2520 m²
Answer
33
Step-by-step explanation:
11 of the faces is a square.
\begin{aligned} \text{Area of a square} &= \text{side} \cdot \text{side}\\\\ &= 3 \cdot 3\\\\ &= {\blueD{9}} \\\\ \end{aligned}
Area of a square
=side⋅side
=3⋅3
=9
Hint #22 / 4
444 of the faces are triangles. Each triangle has the same base and height.
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 4\\\\ &= 6 \\\\ \end{aligned}
Area of a triangle
=
2
1
⋅base⋅height
=
2
1
⋅3⋅4
=6
The total area of these 444 triangles is 4 \cdot 6 = \greenD{24}4⋅6=244, dot, 6, equals, start color #1fab54, 24, end color #1fab54.
Hint #33 / 4
Let's add the areas we found to find the surface area.
\begin{aligned} \text{Surface area} &= \blueD{9}+ \greenD{24}\\\\ &= 33\\\\ \end{aligned}
Surface area
=9+24
=33
Hint #44 / 4
The surface area of this square pyramid is 333333 units^2
2
squared.
Probably not sorry ........
Answer:
a) 24
b) 16
Step-by-step explanation:
a) Total Students = 40
Boys= 40*(3/5) = 24
b) Total Students= 40
Boys= 24
Girls= (40-24) = 16
Answer:
Your answer is (3x - 4) (3x + 7)
Step-by-step explanation:
Hope my answer has helped you and if not i'm sorry.
