Question

Find the lateral and total area for the prism. Also find the volume

Answer 1

anyone?

Answer 2

lateral area = 3*18 +2(3*3(sqrt3)/2) =54 +9sqrt3
h=3*sin60 =3*(sqrt3)/2

volum=area of base *h/2

Answer 3

volum=(18*3sqrt3)/2 =27sqrt3

Answer 4

1.

Lateral Area = Area of 3 Rectangular faces
= 3 x (3 x 6)
= 54

2.



h = √(3² - 1.5²)
=2.59807

Area of Triangle :
A = (0.5 x 2.5987 x 3)
= 3.89805

Total Area = Lateral area + ( Area of Two Bases)
= 54 + 2(3.89805)
= 61.7961

Answer 5

need the answer in exact form

Answer 6

h = √(3² - 1.5²)
=(3√3) / 2

Area of Triangle :
A = 0.5 x [(3√3) / 2] x 3
= 9√3 / 4

Total Area = Lateral area + ( Area of Two Bases)
= 54 + 2(9√3 / 4)
= 54 + (9√3 / 2)

Answer 7

Volume = Area of one Triangle x depth
=[ 9√3 / 4] x 6
= (27√3) / 2

Answer 8

for the total area I have a format like this:\[xx+ x/xSqrt X\]

Answer 9

got that

Answer 10

(9√3 / 2) is the same as (27/ 2√3)

so,
= 54 + (27/ 2√3)

Answer 11

Need the total area and volume of this prism too

Answer 12

Anyone?

Answer 13

Total Area = Area of Two right-angle Triangulars + Area of 3 rectangular faces

Area of one right-angle Triangular = 0.5 x 6 x 4
= 12



x= √(4² +6² )
= 2√13

If you unfold the prism, you can consider it as a single rectangle


Area of single Rectangle = 8 x (6+4+ 2√13)
= 80 +16√13

Total Area = Area of Two right-angle Triangulars + Area of 3 rectangular faces
Total Area = Area of Two right-angle Triangulars + Area of single Rectangle
Total Area = 2(12) + 80 +16√13
= 104+16√13