Gary is comparing four geometric solids. Which solid has the greatest volume?
A. 1/2 1/2 1/3
B. 1/3 1/3 1 1/2
C. 1/2 1 1 3/4
D.1/2 1/3 1 3/4
what’s the right answer?
i would show you but i have no pic for it... sorry!
is C right?
To determine which geometric solid has the greatest volume, we need to compare the given dimensions of the solids. In this case, the dimensions are represented as fractions.
Let's calculate the volumes of each geometric solid using the given fractions:
A. The dimensions are 1/2, 1/2, and 1/3. To calculate the volume, we multiply these numbers: (1/2) * (1/2) * (1/3) = 1/12.
B. The dimensions are 1/3, 1/3, and 1 1/2 (which can be written as 3/2). The volume is calculated as (1/3) * (1/3) * (3/2) = 1/18.
C. The dimensions are 1/2, 1, and 1 3/4 (which can be written as 7/4). The volume is calculated as (1/2) * (1) * (7/4) = 7/8.
D. The dimensions are 1/2, 1/3, and 1 3/4 (which can be written as 7/4). The volume is calculated as (1/2) * (1/3) * (7/4) = 7/48.
Now, let's compare the volumes we calculated:
A: 1/12
B: 1/18
C: 7/8
D: 7/48
Among these options, the solid with the greatest volume is option C, which has a volume of 7/8.