Geometry question

Practice Question Solving
1

A concrete cuboid block which is hollowed out in the centre is 25cm long. It has an internal diagonal of 10√2 cm and an external base width of 14cm. The density of the concrete is 3 grams per cubic centimetre.
What is the mass of the block in grams?

A 300
B 2400
C 7200
D 7500
E 14700

Hi, can someone help me with this? Seems pretty straightforward but I don’t fully understand the question and how to find the height of the outer block as well as the volume of the inner block. The correct answer is C.

2

I think this article refers to what a hollowed out cuboid is.
Still I can’t figure out which side is the hollow side, or where “the center” is…

4

How do you know that the other side of the other cuboid is also 14cm?

6

Is that not assuming that the base is a square though? Surely we dont get given enough information to deduce that?

7

Yeah, I can agree that the sides of the inner block must be 10 x 10 to meet the given diagonal length (assuming this Q only asks for a whole number). But doesn’t 25cm long mean the length of the outer block, not the height? I also don’t understand why the outer base should be a square.