Can you help me ?

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2 Answers
Mar 14, 2018

Please see below.

Explanation:

.

Problem 4:

This is a pyramid sitting atop a rectangular box. We can calculate the volume of each separately and add them together:

V_("Box")=l*w*h where l, w, and h are length, width, and height of the box:

V_("Box")=(6)(5)(2)=60 Cm^3

V_(Pyramid)=1/3Area_(Base)Height=1/3(6)(5)(1.5)=15 Cm^3

Total Volume =60+15=75 Cm^3

Problem 5:

This is a cone sitting atop a cylinder. We can calculate the volume of each separately and add them together:

V_("Cone")=1/3Area_(Base)*Height

Area_(Base)=Area_("Circle")=pir^2 where r is the radius

V_("Cone")=1/3pi(6)^2(9)=108pi m^3

V_("Cylinder")=Area_(Base)*Height

V_("Cylinder")=pi(6)^2(6)=216pi m^3

Total Volume =108pi+216pi=324pi=1,018 m^3

Mar 14, 2018

Q4 = 75 cm^3

Q5 = 324 pi m^3

Explanation:

Q4.
we separete into two calculation.

Total Volume =Volume cuboid + volume pyramid.

= (width * length * height) + (1/3 * base area *height)

=(5 * 6 * 2 ) +( 1/3 * (5 * 6 * 1.5))

= 60 + 15
= 75 cm^3

Q5.
we separete into two calculation.

Total Volume =Volume cylinder + volume cone.

= pi * r^2 * h + 1/3 pi * r^2 h

= pi * 6^2 * 6 + 1/3 pi * 6^2 * 9

= 216 pi + 108 pi

= 324 pi m^3