40 câu trắc nghiệm Chuyên đề Khối đa diện có lời giải ôn thi THPTQG năm 2019

A. \(V = \frac{{\sqrt 2 {a^3}}}{2}.\)

B. \(V = \frac{{\sqrt {34} {a^3}}}{2}.\)

C. \(V = \frac{{\sqrt {34} {a^3}}}{6}.\)

D. \(V = \frac{{\sqrt 2 {a^3}}}{6}.\)

A. \(\frac{{{V_1}}}{{{V_2}}} = \frac{{13}}{3}\)

B. \(\frac{{{V_1}}}{{{V_2}}} = 2\)

C. \(\frac{{{V_1}}}{{{V_2}}} = 3\)

D. \(\frac{{{V_1}}}{{{V_2}}} = \frac{5}{2}\)

A. \(V = \frac{{2{a^3}\sqrt 6 }}{3}\)

B. \(V = \frac{{{a^3}\sqrt 6 }}{3}\)

C. \(V = 2\sqrt 6 {a^3}\)

D. \(V = \frac{{4{a^3}}}{3}\)

A. \(V = \frac{1}{3}{a^3}\)

B. \(V = \sqrt 3 {a^3}\)

C. \(V = \frac{{\sqrt 3 }}{3}{a^3}\)

D. \(V = {a^3}\)

A. \({V_{S.ABCD}} = 4{V_{S.ABC}}\)

B. \({V_{S.ABCD}} = 6{V_{S.ABC}}\)

C. \({V_{S.ABCD}} = 3{V_{S.ABC}}\)

D. \({V_{S.ABCD}} = 2{V_{S.ABC}}\)

A. \(\frac{{{a^3}\sqrt 2 }}{3} \cdot \)

B. \({a^3}\sqrt {12} \)

C. \(\frac{{{a^3}}}{3} \cdot \)

D. \(\frac{{2{a^3}}}{3} \cdot \)

A. \({V_{S.ABCD}} = \frac{{\sqrt 3 {a^3}}}{{24}}\)

B. \({V_{S.ABCD}} = \frac{{\sqrt 3 {a^3}}}{8}\)

C. \({V_{S.ABCD}} = \frac{{\sqrt 3 {a^3}}}{{12}}\)

D. \({V_{S.ABCD}} = \frac{{\sqrt 3 {a^3}}}{{48}}\)

A. \(\frac{{{a^3}\sqrt 6 }}{6}\)

B. \(\frac{{2{a^3}\sqrt 2 }}{3}\)

C. \(\frac{{{a^3}\sqrt 6 }}{3}\)

D. \(\frac{{{a^3}\sqrt 3 }}{6}\)

A. 40 

B. 60 

C. 30 

D. 20 

A. \(2\sqrt 2 \)

B. \(3\sqrt 2 \)

C. \(3\sqrt 3 \)

D. \(K\)

A. \(3V\)

B. \(6V\)

C. \(9V\)

D. \(12V\)

A. \(\frac{{3{a^3}}}{4}\)

B. \(\frac{{{a^3}}}{4}\)

C. \(\frac{{{a^3}}}{{24}}\)

D. \(\frac{{{a^3}}}{8}\)

A. \(\frac{{{a^3}\sqrt {15} }}{3}\)

B. \(\frac{{{a^3}\sqrt {15} }}{{27}}\)

C. \(\frac{{{a^3}\sqrt {15} }}{9}\)

D. \(\frac{{{a^3}}}{3}\)

A. \(\frac{{16{a^3}\sqrt 6 }}{3}\)

B. \(\frac{{8{a^3}\sqrt 6 }}{3}\)

C. \(\frac{{16{a^3}\sqrt 3 }}{3}\)

D. \(\frac{{8{a^3}\sqrt 3 }}{3}\)

A. \(12{{\mathop{\rm cm}\nolimits} ^3}\)

B. \(8{{\mathop{\rm cm}\nolimits} ^3}\)

C. \(6{{\mathop{\rm cm}\nolimits} ^3}\)

D. \(4{{\mathop{\rm cm}\nolimits} ^3}\)

A. \(2\)

B. \(\sqrt 3 \)

C. \(1\)

D. \(\sqrt 2 \)

A. \(\frac{{{a^3}}}{8}\)

B. \(\frac{{{a^3}}}{4}\)

C. \(\frac{{{a^3}}}{2}\)

D. \(\frac{{{3a^3}}}{4}\)

A. \(V = \frac{{2\sqrt 3 {a^3}}}{3}\)

B. \(V = 2\sqrt 3 {a^3}\)

C. \(V = \frac{{2\sqrt 6 {a^3}}}{3}\)

D. \(V = 2\sqrt 6 {a^3}\)

A. \(\frac{{\sqrt 3 }}{{12}}\)

B. \(\frac{{\sqrt 3 }}{2}\)

C. \(\sqrt 3 \)

D. \(\frac{{8\sqrt 3 }}{3}\)

A. \(120^0\)

B. \(30^0\)

C. \(45^0\)

D. \(60^0\)

A. \(V = \frac{{{a^3}\sqrt 2 }}{9}\)

B. \(V = 4{a^3}\sqrt 2 \)

C. \(V = \frac{{4{a^3}\sqrt 2 }}{3}\)

D. \(V = \frac{{{a^3}\sqrt 2 }}{6}\)

A. \(\frac{{a\sqrt 3 }}{3}\)

B. \(\frac{{a\sqrt 3 }}{2}\)

C. \(\frac{{2a\sqrt 3 }}{3}\)

D. \(\frac{a}{3}\)

A. \(\frac{{a\sqrt 3 }}{2}\)

B. \(a\sqrt 3 \)

C. \(2a\sqrt 3 \)

D. \(a\sqrt 6 \)

A. \(V = \frac{{4{x^3}}}{3}\)

B. \(V = {x^3}\)

C. \(V = \frac{{3{x^3}}}{{16}}\)

D. \(V = \frac{{9{x^3}}}{8}\)

A. \(3\)

B. \(\frac{1}{3}\)

C. \(\frac{2}{3}\)

D. \(\frac{3}{2}\)

A. \(\frac{{\sqrt 2 }}{2}\)

B. \(3\)

C. \(\frac{{\sqrt 3 }}{3}\)

D. \(\sqrt 3 \)

A. \(30^0\)

B. \(60^0\)

C. \(45^0\)

D. \(75^0\)

A. 6

B. 8

C. 4

D. 9

A. \(\frac{{a\sqrt 6 }}{6}\)

B. \(\frac{{a\sqrt 6 }}{{24}}\)

C. \(\frac{{a\sqrt 6 }}{{12}}\)

D. \(\frac{{a\sqrt 6 }}{3}\)

A. \(\frac{{{a^3}\sqrt 3 }}{{12}}\)

B. \(\frac{{{a^3}\sqrt 3 }}{4}\)

C. \(\frac{{{a^3}\sqrt 3 }}{{24}}\)

D. \(\frac{{{a^3}\sqrt 3 }}{8}\)

A. 6 mặt phẳng 

B. 3 mặt phẳng 

C. 9 mặt phẳng 

D. 4 mặt phẳng 

A. \(8\)

B. \(\frac{8}{3}\)

C. \(16\)

D. \(4\)

A. \(V = \frac{{{a^3}\sqrt 3 }}{8}\)

B. \(V = \frac{{3{a^3}\sqrt 3 }}{4}\)

C. \(V = \frac{{3{a^3}\sqrt 3 }}{8}\)

D. \(V = \frac{{{a^3}\sqrt 3 }}{4}\)

A. \(2a\sqrt 3 \)

B. \(a\)

C. \(6a\)

D. \(a\sqrt 3 \)

A. \(\frac{{\pi {a^3}}}{6}\)

B. \(\frac{{\pi {a^3}}}{3}\)

C. \(4\pi {a^3}\)

D. \(\frac{{4\pi {a^3}}}{3}\)

A. \(\frac{{{a^3}\sqrt 3 }}{2}\)

B. \(\frac{{{a^3}\sqrt 3 }}{4}\)

C. \(\frac{{{a^3}\sqrt 3 }}{6}\)

D. \({a^3}\sqrt 3 \)

A. \(\frac{{{a^3}\sqrt 2 }}{6}\)

B. \(\frac{{{a^3}\sqrt 2 }}{4}\)

C. \({a^3}\sqrt 2 \)

D. \(\frac{{{a^3}\sqrt 2 }}{3}\)

A. \(\frac{V}{8}\)

B. \(\frac{V}{4}\)

C. \(\frac{V}{2}\)

D. \(\frac{V}{{16}}\)

A. \(24\pi {a^2}\)

B. \(6\pi {a^2}\)

C. \(4\pi {a^2}\)

D. \(3\pi {a^2}\)

A. \(\frac{{\sqrt 3 {a^3}}}{{24}}\)

B. \(\frac{{\sqrt 3 {a^3}}}{{12}}\)

C. \(\frac{{7\sqrt 3 {a^3}}}{{96}}\)

D. \(\frac{{7\sqrt 3 {a^3}}}{{32}}\)