We know that
[volume of <span>hexagonal prism]=[area of base]*[height]
</span>[height]=[volume of hexagonal prism]/[area of base]
Volume=160 m³
Area=64 m²
[height]=[160]/[64]=2.5 m<span>
</span>[surface area of hexagonal prism]=[perimeter of base]*[height]+2*[area of base]
perimeter=30 m
height=2.5 m
Area=64 m²
[surface area of hexagonal prism]=[30]*[2.5]+2*64=135.5 m²
the answer is
<span>the surface area, of the hexagonal prism is </span>135.5 m²
Answer:
Option 3 is correct as Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.
Step-by-step explanation:
Given : Leon evaluated the expression
for a=8
(-4(8) - 6) + 82 , (-32-6) + 82 , (-38) + 82 , (-38) + 16 –19 + 16 –3
Leon's work is not so proper , Option 3 is correct as Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.
Correct steps are :
Step 1 :
Step 2 : Put a=8 in the equation we get,
Therefore, correct answer is 26.
9514 1404 393
Answer:
5.5
Step-by-step explanation:
On the left, the lower segment (7) is half the length of the one above it (14). The same proportion will hold on the right.
x = 11/2 = 5.5
Answer:
Step-by-step explanation:
Volume of a pyramid = 
Area of the rectangular base = Length × Width
= 8 × 6
= 48 mm²
Volume of the pyramid = 192 mm³
192 = 
h = 
h = 12 mm
Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.
Height of the box(mm) Yes/No
10 Yes
13 No
8 Yes
Answer:
-14√2
Step-by-step explanation:
Note that 18 = 2*9, and that 9 is a perfect square. Therefore,
2*√18 = 2*3*√2, or 6√2.
Next, note that 32 = 2*16, and that 16 is a perfect square. Therefore,
-5*√32 = -5*√2*√16, or -5*√2*4, or -20√2.
Combining these two results, we get:
6*√2 - 20√2, or -14√2