3D Shapes - Ambitious

Question 1: Radius of a sphere placed in a square equals

8 c m

, find a volume of a square.

A

512 c m^{3}

B

4000 c m^{3}

C

4096 c m^{3}

D

2000 c m^{3}

Question 2: Find the volume of a tetrahedron with the side of the basis equal to

2 \sqrt{2} c m

.

A

2 c m^{3}

B

1 c m^{3}

C

\frac{8}{3} c m^{3}

D

\frac{4}{3} 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

40 c m^{3}

C

30 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

30 c m^{2}

C

10 c m^{2}

D

20 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

40 c m^{3}

B

60 c m^{3}

C

30 c m^{3}

D

50 c m^{3}

Test: 3D Shapes - Ambitious