Question

Determine the surface area and volume of the shape shown. Each small cube is 2 cm x 2 cm x 2 cm. There are no hidden indentations. Answer the prompts. a.) Surface Area b.) Describe your surface area strategy. c.) Volume d.) Describe your volume strategy.

Answer 1

The detailed explanation is given below:

We giren small cubes of figure that is formed of 2 cm x 2 cm dimerions 2 am (a) cm2 sur face are a + 4 x 4 + 4 X 6 x6) + 4 x(2x2) (6.6x4 2. (24 +16 an 2 fi + 24) + 16 128 + 144 an 2 aldona リンリリヤ (b) Now we will describe how area . we w we the samall cube above. ou The boleh a length the width 2109 pl evaluated the surface *)sony ! മായി സ first think of the rectangular parallelopiped excluding of this parallelopiped is l= 6 cm. (as made up of 3 cuber) (as made up of a cuber) beigab cas up of a cubes siya The surface of this parallelopiped I berital, 2 ( w t, whethe). 2 (6*4 + 4 x 4 + 486 4862 Em W and 4 em. made w io ana LU 2 en 128 if Now, We above consider the small cabe, we Know 6 seer faces which is attached with rectangle. So, & we have to take only five into consideration, in calculating ay attached. Now, our of this five, is already added parallelopiped surface , 4*(axa) ema Hence the total surface 4 (2*2) 144 m2 add we above with 128 t

. 3 (2) Volume low, h t. 2x2x2 (** 8 o cm 3 (6x + x4) 96 + 8 3 104 is actually and the in considering and area و لا GA no problem (a) calculate the volume, there small enbe the rectangulage parallelosiped balo ow volumes add their separately In case of surface used the detailed method of total mo. of sur faces.. ww! But in cope of du dimen amodite of spare the figure occupies, To ou howe total volume volume of dect tangulas parallelopiped t volume of the cube. 21 volume mo such case appears. here Cho volume means ex W x h X2 X 2 cm 3 3 8 (6x4x4) + 8 2 دارد از 3. 104 اور را Gymi suite not Cicle botos . Joto が ogh yoso no Coxox A (*)