Test:
3D Shapes - Ambitious
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Question 1:
Radius of a sphere placed in a square equals
8
c
m
, find a volume of a square.
A
4000
c
m
3
B
2000
c
m
3
C
512
c
m
3
D
4096
c
m
3
Question 2:
Find the volume of a tetrahedron with the side of the basis equal to
2
2
c
m
.
A
4
3
c
m
3
B
8
3
c
m
3
C
2
c
m
3
D
1
c
m
3
Question 3:
Calculate a volume of the pyramid, with a rhombus in the basis with diagonals
4
c
m
and
6
c
m
, and a height of a pyramid
10
c
m
.
A
25
c
m
3
B
30
c
m
3
C
40
c
m
3
D
35
c
m
3
Question 4:
A side of the basis of the triangular pyramid equals
a
=
4
c
m
, apothem
b
=
5
c
m
. Find an area of the side of the pyramid.
A
45
c
m
2
B
10
c
m
2
C
20
c
m
2
D
30
c
m
2
Question 5:
Calculate a volume of a cylinder, if its height is
h
=
4
c
m
, and an area of the basement
S
=
10
c
m
2
.
A
50
c
m
3
B
40
c
m
3
C
60
c
m
3
D
30
c
m
3
Question 6:
Calculate a volume of a pyramid with the square in the basement and
h
=
6
c
m
,
b
=
3
c
m
.
A
82
c
m
3
B
50
c
m
3
C
72
c
m
3
D
64
c
m
3
Question 7:
Find the volume of the sphere places in the square with the side
a
=
8
c
m
.
A
256
3
π
c
m
3
B
226
3
π
c
m
3
C
206
3
π
c
m
3
D
256
3
c
m
3
Question 8:
Projection of the segment
A
B
on the X axis:
A
x
B
x
=
1
, on the Y axis:
A
y
B
y
=
3
, on Z axis:
A
z
B
z
=
4
, find a segment
A
B
.
A
30
B
26
C
32
D
21
Question 9:
Projection of a segment
A
B
on X axis:
A
x
B
x
=
2
, on Y axis:
A
y
B
y
=
1
, on Z axis:
A
z
B
z
=
5
, find a segment
A
B
.
A
80
B
34
C
40
D
30
Question 10:
Calculate volume of a pyramid with a square in the basement and
h
=
4
c
m
,
l
=
5
c
m
.
A
144
c
m
3
B
30
c
m
3
C
48
c
m
3
D
50
c
m
3
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